106421636900 has 72 divisors (see below), whose sum is σ = 232000776000. Its totient is φ = 42372650880.

The previous prime is 106421636891. The next prime is 106421636929. The reversal of 106421636900 is 9636124601.

It is a super-2 number, since 2×106421636900² (a number of 23 digits) contains 22 as substring.

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, 22219706 + ... + 22224494.

It is an arithmetic number, because the mean of its divisors is an integer number (3222233000).

Almost surely, 2^106421636900 is an apocalyptic number.

106421636900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106421636900 is an abundant number, since it is smaller than the sum of its proper divisors (125579139100).

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

106421636900 is a wasteful number, since it uses less digits than its factorization.

106421636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 106421636900 in words is "one hundred six billion, four hundred twenty-one million, six hundred thirty-six thousand, nine hundred".