10661524100 has 72 divisors (see below), whose sum is σ = 23794393728. Its totient is φ = 4143484800.

The previous prime is 10661524067. The next prime is 10661524117. The reversal of 10661524100 is 142516601.

It is a super-2 number, since 2×10661524100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10661524100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3369119 + ... + 3372281.

Almost surely, 2^10661524100 is an apocalyptic number.

10661524100 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 10661524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897196864).

10661524100 is an abundant number, since it is smaller than the sum of its proper divisors (13132869628).

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

10661524100 is a wasteful number, since it uses less digits than its factorization.

10661524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 10661524100 in words is "ten billion, six hundred sixty-one million, five hundred twenty-four thousand, one hundred".