106086073100 has 54 divisors (see below), whose sum is σ = 267791571180. Its totient is φ = 36372366240.

The previous prime is 106086073099. The next prime is 106086073109. The reversal of 106086073100 is 1370680601.

106086073100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106086073100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106086073109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10820210 + ... + 10830009.

It is an arithmetic number, because the mean of its divisors is an integer number (4959103170).

Almost surely, 2^106086073100 is an apocalyptic number.

106086073100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106086073100 is an abundant number, since it is smaller than the sum of its proper divisors (161705498080).

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

106086073100 is a wasteful number, since it uses less digits than its factorization.

106086073100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21650247 (or 21650233 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 106086073100 in words is "one hundred six billion, eighty-six million, seventy-three thousand, one hundred".