10645632365100 has 144 divisors (see below), whose sum is σ = 31988089381248. Its totient is φ = 2731430338560.

The previous prime is 10645632365077. The next prime is 10645632365107. The reversal of 10645632365100 is 156323654601.

It is a super-2 number, since 2×10645632365100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645632365107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5294229 + ... + 7022828.

It is an arithmetic number, because the mean of its divisors is an integer number (222139509592).

Almost surely, 2^{10645632365100} is an apocalyptic number.

10645632365100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10645632365100 is an abundant number, since it is smaller than the sum of its proper divisors (21342457016148).

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

10645632365100 is a wasteful number, since it uses less digits than its factorization.

10645632365100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317184 (or 12317177 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 10645632365100 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-two million, three hundred sixty-five thousand, one hundred".