106086702100 has 72 divisors (see below), whose sum is σ = 231508495008. Its totient is φ = 42195465600.

The previous prime is 106086702083. The next prime is 106086702119. The reversal of 106086702100 is 1207680601.

It is a super-2 number, since 2×106086702100² (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 23 ways as a sum of consecutive naturals, for example, 22039294 + ... + 22044106.

It is an arithmetic number, because the mean of its divisors is an integer number (3215395764).

Almost surely, 2^106086702100 is an apocalyptic number.

106086702100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106086702100 is an abundant number, since it is smaller than the sum of its proper divisors (125421792908).

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

106086702100 is a wasteful number, since it uses less digits than its factorization.

106086702100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 106086702100 in words is "one hundred six billion, eighty-six million, seven hundred two thousand, one hundred".