10632972100 has 72 divisors (see below), whose sum is σ = 23859472896. Its totient is φ = 4108800000.

The previous prime is 10632972067. The next prime is 10632972157. The reversal of 10632972100 is 127923601.

It is a super-2 number, since 2×10632972100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1984425 + ... + 1989775.

It is an arithmetic number, because the mean of its divisors is an integer number (331381568).

Almost surely, 2^10632972100 is an apocalyptic number.

10632972100 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 10632972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929736448).

10632972100 is an abundant number, since it is smaller than the sum of its proper divisors (13226500796).

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

10632972100 is a wasteful number, since it uses less digits than its factorization.

10632972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 10632972100 in words is "ten billion, six hundred thirty-two million, nine hundred seventy-two thousand, one hundred".