106913123352 has 96 divisors (see below), whose sum is σ = 350387575200. Its totient is φ = 28749745152.

The previous prime is 106913123327. The next prime is 106913123357. The reversal of 106913123352 is 253321319601.

106913123352 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 312 + 335 + 2 = 666.

106913123352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106913123352² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106913123357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6230527 + ... + 6247662.

It is an arithmetic number, because the mean of its divisors is an integer number (3649870575).

Almost surely, 2^106913123352 is an apocalyptic number.

106913123352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106913123352 is an abundant number, since it is smaller than the sum of its proper divisors (243474451848).

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

106913123352 is a wasteful number, since it uses less digits than its factorization.

106913123352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12478225 (or 12478218 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 106913123352 in words is "one hundred six billion, nine hundred thirteen million, one hundred twenty-three thousand, three hundred fifty-two".