106672332400 has 60 divisors (see below), whose sum is σ = 256340784112. Its totient is φ = 42658859520.

The previous prime is 106672332397. The next prime is 106672332419. The reversal of 106672332400 is 4233276601.

It is a super-2 number, since 2×106672332400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1797604 + ... + 1855996.

Almost surely, 2^106672332400 is an apocalyptic number.

106672332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106672332400 is an abundant number, since it is smaller than the sum of its proper divisors (149668451712).

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

106672332400 is a wasteful number, since it uses less digits than its factorization.

106672332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62978 (or 62967 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 106672332400 in words is "one hundred six billion, six hundred seventy-two million, three hundred thirty-two thousand, four hundred".