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10104900 = 22352132591
BaseRepresentation
bin100110100011…
…000001000100
3201000101022120
4212203001010
510041324100
61000325540
7151614231
oct46430104
921011276
1010104900
115781a63
1234738b0
13212a540
1414b0788
15d490a0
hex9a3044

10104900 has 72 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 2486400.

The previous prime is 10104893. The next prime is 10104907. The reversal of 10104900 is 940101.

It is an interprime number because it is at equal distance from previous prime (10104893) and next prime (10104907).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10104900.

It is not an unprimeable number, because it can be changed into a prime (10104907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 210104900 is an apocalyptic number.

10104900 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 10104900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

10104900 is an abundant number, since it is smaller than the sum of its proper divisors (21393084).

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

10104900 is a wasteful number, since it uses less digits than its factorization.

10104900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10104900 is about 3178.8205359850. The cubic root of 10104900 is about 216.1941840867.

The spelling of 10104900 in words is "ten million, one hundred four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2591 3900 5182 7773 10364 12955 15546 25910 31092 33683 38865 51820 64775 67366 77730 101049 129550 134732 155460 168415 194325 202098 259100 336830 388650 404196 505245 673660 777300 842075 1010490 1684150 2020980 2526225 3368300 5052450 10104900