106314037092 has 18 divisors (see below), whose sum is σ = 268738260518. Its totient is φ = 35438012352.

The previous prime is 106314037021. The next prime is 106314037117. The reversal of 106314037092 is 290730413601.

106314037092 is a `hidden beast` number, since 1 + 0 + 63 + 140 + 370 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106239491136 + 74545956 = 325944^2 + 8634^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106314037092² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2953167697 = 106314037092 / (1 + 0 + 6 + 3 + 1 + 4 + 0 + 3 + 7 + 0 + 9 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1476583813 + ... + 1476583884.

Almost surely, 2^106314037092 is an apocalyptic number.

106314037092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106314037092 is an abundant number, since it is smaller than the sum of its proper divisors (162424223426).

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

106314037092 is a wasteful number, since it uses less digits than its factorization.

106314037092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953167707 (or 2953167702 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 106314037092 in words is "one hundred six billion, three hundred fourteen million, thirty-seven thousand, ninety-two".