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102445400 = 235217291039
BaseRepresentation
bin1100001101100…
…11000101011000
321010202202200002
412012303011120
5202211223100
614055432132
72352525431
oct606630530
9233682602
10102445400
1152911822
122a385648
13182bb8a5
14d86a488
158ed92d5
hex61b3158

102445400 has 96 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 37201920.

The previous prime is 102445391. The next prime is 102445423. The reversal of 102445400 is 4544201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98081 + ... + 99119.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2102445400 is an apocalyptic number.

102445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

102445400 is an abundant number, since it is smaller than the sum of its proper divisors (158698600).

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

102445400 is a wasteful number, since it uses less digits than its factorization.

102445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 102445400 is about 10121.5315046686. The cubic root of 102445400 is about 467.9119687346.

Adding to 102445400 its reverse (4544201), we get a palindrome (106989601).

The spelling of 102445400 in words is "one hundred two million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 850 986 1039 1160 1450 1700 1972 2078 2465 2900 3400 3944 4156 4930 5195 5800 8312 9860 10390 12325 17663 19720 20780 24650 25975 30131 35326 41560 49300 51950 60262 70652 88315 98600 103900 120524 141304 150655 176630 207800 241048 301310 353260 441575 512227 602620 706520 753275 883150 1024454 1205240 1506550 1766300 2048908 2561135 3013100 3532600 4097816 5122270 6026200 10244540 12805675 20489080 25611350 51222700 102445400