105104991600 has 720 divisors, whose sum is σ = 435749443584. Its totient is φ = 22954752000.

The previous prime is 105104991557. The next prime is 105104991619. The reversal of 105104991600 is 6199401501.

105104991600 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 49 + 9 + 1 + 600 = 666.

It is a Cunningham number, because it is equal to 324199²-1.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105104991600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64838790 + ... + 64840410.

Almost surely, 2^105104991600 is an apocalyptic number.

105104991600 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 105104991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217874721792).

105104991600 is an abundant number, since it is smaller than the sum of its proper divisors (330644451984).

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

105104991600 is a wasteful number, since it uses less digits than its factorization.

105104991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 105104991600 in words is "one hundred five billion, one hundred four million, nine hundred ninety-one thousand, six hundred".