106774038252 has 72 divisors (see below), whose sum is σ = 319094848800. Its totient is φ = 29454905088.

The previous prime is 106774038233. The next prime is 106774038263. The reversal of 106774038252 is 252830477601.

It is a super-2 number, since 2×106774038252² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106774038198 and 106774038207.

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 23 ways as a sum of consecutive naturals, for example, 7297977 + ... + 7312592.

It is an arithmetic number, because the mean of its divisors is an integer number (4431872900).

Almost surely, 2^106774038252 is an apocalyptic number.

106774038252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106774038252 is an abundant number, since it is smaller than the sum of its proper divisors (212320810548).

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

106774038252 is a wasteful number, since it uses less digits than its factorization.

106774038252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610615 (or 14610610 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 106774038252 in words is "one hundred six billion, seven hundred seventy-four million, thirty-eight thousand, two hundred fifty-two".