106314338172 has 48 divisors (see below), whose sum is σ = 284558883840. Its totient is φ = 30262598592.

The previous prime is 106314338161. The next prime is 106314338173. The reversal of 106314338172 is 271833413601.

It is a super-2 number, since 2×106314338172² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106314338172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314338173) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2329908 + ... + 2375099.

It is an arithmetic number, because the mean of its divisors is an integer number (5928310080).

Almost surely, 2^106314338172 is an apocalyptic number.

106314338172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106314338172 is an abundant number, since it is smaller than the sum of its proper divisors (178244545668).

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

106314338172 is a wasteful number, since it uses less digits than its factorization.

106314338172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705290 (or 4705288 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 106314338172 in words is "one hundred six billion, three hundred fourteen million, three hundred thirty-eight thousand, one hundred seventy-two".