10500105600 has 384 divisors, whose sum is σ = 39169591200. Its totient is φ = 2745999360.

The previous prime is 10500105593. The next prime is 10500105601. The reversal of 10500105600 is 650100501.

10500105600 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10500105600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500105601) 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, 4578054 + ... + 4580346.

Almost surely, 2^10500105600 is an apocalyptic number.

10500105600 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 10500105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584795600).

10500105600 is an abundant number, since it is smaller than the sum of its proper divisors (28669485600).

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

10500105600 is a wasteful number, since it uses less digits than its factorization.

10500105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10500105600 in words is "ten billion, five hundred million, one hundred five thousand, six hundred".