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100642050 = 232521979149
BaseRepresentation
bin1011111111110…
…10110100000010
321000101010221100
411333322310002
5201231021200
613553035230
72331305025
oct577726402
9230333840
10100642050
115189a953
1229855b16
1317b09b12
14d51b1bc
158c7ed00
hex5ffad02

100642050 has 144 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 24935040.

The previous prime is 100642033. The next prime is 100642079. The reversal of 100642050 is 50246001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 675376 + ... + 675524.

It is an arithmetic number, because the mean of its divisors is an integer number (2015000).

Almost surely, 2100642050 is an apocalyptic number.

100642050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100642050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

100642050 is an abundant number, since it is smaller than the sum of its proper divisors (189517950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100642050 is a wasteful number, since it uses less digits than its factorization.

100642050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100642050 is about 10032.0511362333. The cubic root of 100642050 is about 465.1501422893.

Adding to 100642050 its reverse (50246001), we get a palindrome (150888051).

The spelling of 100642050 in words is "one hundred million, six hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 79 90 95 114 149 150 158 171 190 225 237 285 298 342 395 447 450 474 475 570 711 745 790 855 894 950 1185 1341 1422 1425 1490 1501 1710 1975 2235 2370 2682 2831 2850 3002 3555 3725 3950 4275 4470 4503 5662 5925 6705 7110 7450 7505 8493 8550 9006 11175 11771 11850 13410 13509 14155 15010 16986 17775 22350 22515 23542 25479 27018 28310 33525 35313 35550 37525 42465 45030 50958 58855 67050 67545 70626 70775 75050 84930 105939 112575 117710 127395 135090 141550 176565 211878 212325 223649 225150 254790 294275 337725 353130 424650 447298 529695 588550 636975 670947 675450 882825 1059390 1118245 1273950 1341894 1765650 2012841 2236490 2648475 3354735 4025682 5296950 5591225 6709470 10064205 11182450 16773675 20128410 33547350 50321025 100642050