100106665600 has 48 divisors (see below), whose sum is σ = 247294755270. Its totient is φ = 40042664960.

The previous prime is 100106665577. The next prime is 100106665639. The reversal of 100106665600 is 6566601001.

It can be written as a sum of positive squares in 3 ways, for example, as 95956213824 + 4150451776 = 309768^2 + 64424^2 .

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 5 ways as a sum of consecutive naturals, for example, 15638467 + ... + 15644866.

Almost surely, 2^100106665600 is an apocalyptic number.

100106665600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100106665600 is an abundant number, since it is smaller than the sum of its proper divisors (147188089670).

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

100106665600 is an equidigital number, since it uses as much as digits as its factorization.

100106665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31283357 (or 31283340 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 100106665600 in words is "one hundred billion, one hundred six million, six hundred sixty-five thousand, six hundred".