10631217100 has 72 divisors (see below), whose sum is σ = 26621573888. Its totient is φ = 3609576000.

The previous prime is 10631217073. The next prime is 10631217109. The reversal of 10631217100 is 171213601.

It is a super-2 number, since 2×10631217100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10631217109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626 + ... + 145825.

Almost surely, 2^10631217100 is an apocalyptic number.

10631217100 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 10631217100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310786944).

10631217100 is an abundant number, since it is smaller than the sum of its proper divisors (15990356788).

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

10631217100 is a wasteful number, since it uses less digits than its factorization.

10631217100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147575 (or 147568 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 10631217100 in words is "ten billion, six hundred thirty-one million, two hundred seventeen thousand, one hundred".