106777004100 has 72 divisors (see below), whose sum is σ = 332706205440. Its totient is φ = 26283569280.

The previous prime is 106777004017. The next prime is 106777004177. The reversal of 106777004100 is 1400777601.

It is a super-2 number, since 2×106777004100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13685460 + ... + 13693259.

It is an arithmetic number, because the mean of its divisors is an integer number (4620919520).

Almost surely, 2^106777004100 is an apocalyptic number.

106777004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106777004100 is an abundant number, since it is smaller than the sum of its proper divisors (225929201340).

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

106777004100 is a wasteful number, since it uses less digits than its factorization.

106777004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27378749 (or 27378742 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 106777004100 in words is "one hundred six billion, seven hundred seventy-seven million, four thousand, one hundred".