10605050100 has 54 divisors (see below), whose sum is σ = 33240943190. Its totient is φ = 2828013120.

The previous prime is 10605050083. The next prime is 10605050101. The reversal of 10605050100 is 105050601.

10605050100 is a `hidden beast` number, since 1 + 0 + 60 + 505 + 0 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 647804304 + 9957245796 = 25452^2 + 99786^2 .

It is a super-2 number, since 2×10605050100² (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 (10605050101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5890795 + ... + 5892594.

Almost surely, 2^10605050100 is an apocalyptic number.

10605050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605050100 is an abundant number, since it is smaller than the sum of its proper divisors (22635893090).

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

10605050100 is a wasteful number, since it uses less digits than its factorization.

10605050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783409 (or 11783399 counting only the distinct ones).

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

The spelling of 10605050100 in words is "ten billion, six hundred five million, fifty thousand, one hundred".