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103092150 = 23527472089
BaseRepresentation
bin1100010010100…
…00111110110110
321011222121211210
412021100332312
5202342422100
614121342250
72361161130
oct611207666
9234877753
10103092150
1153213727
122a637986
1318487095
14d998050
1590b5c50
hex6250fb6

103092150 has 96 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 23051520.

The previous prime is 103092139. The next prime is 103092151. The reversal of 103092150 is 51290301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103092151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48306 + ... + 50394.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2103092150 is an apocalyptic number.

103092150 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 103092150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

103092150 is an abundant number, since it is smaller than the sum of its proper divisors (195460170).

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

103092150 is a wasteful number, since it uses less digits than its factorization.

103092150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 103092150 is about 10153.4304547773. The cubic root of 103092150 is about 468.8945651885.

The spelling of 103092150 in words is "one hundred three million, ninety-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 50 70 75 94 105 141 150 175 210 235 282 329 350 470 525 658 705 987 1050 1175 1410 1645 1974 2089 2350 3290 3525 4178 4935 6267 7050 8225 9870 10445 12534 14623 16450 20890 24675 29246 31335 43869 49350 52225 62670 73115 87738 98183 104450 146230 156675 196366 219345 294549 313350 365575 438690 490915 589098 687281 731150 981830 1096725 1374562 1472745 2061843 2193450 2454575 2945490 3436405 4123686 4909150 6872810 7363725 10309215 14727450 17182025 20618430 34364050 51546075 103092150