106757314038 has 32 divisors (see below), whose sum is σ = 249724713600. Its totient is φ = 33712835688.

The previous prime is 106757313997. The next prime is 106757314091. The reversal of 106757314038 is 830413757601.

106757314038 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 573 + 1 + 40 + 38 = 666.

It is a super-2 number, since 2×106757314038² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106757313984 and 106757314002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52024956 + ... + 52027007.

It is an arithmetic number, because the mean of its divisors is an integer number (7803897300).

Almost surely, 2^106757314038 is an apocalyptic number.

106757314038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106757314038 is an abundant number, since it is smaller than the sum of its proper divisors (142967399562).

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

106757314038 is a wasteful number, since it uses less digits than its factorization.

106757314038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104051993 (or 104051987 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106757314038 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred fourteen thousand, thirty-eight".