106364362356 has 120 divisors (see below), whose sum is σ = 318803861376. Its totient is φ = 30291900480.

The previous prime is 106364362319. The next prime is 106364362361. The reversal of 106364362356 is 653263463601.

106364362356 is a `hidden beast` number, since 1 + 0 + 636 + 4 + 3 + 6 + 2 + 3 + 5 + 6 = 666.

It is a super-2 number, since 2×106364362356² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629950 + ... + 780746.

Almost surely, 2^106364362356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106364362356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159401930688).

106364362356 is an abundant number, since it is smaller than the sum of its proper divisors (212439499020).

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

106364362356 is a wasteful number, since it uses less digits than its factorization.

106364362356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151131 (or 151120 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 106364362356 in words is "one hundred six billion, three hundred sixty-four million, three hundred sixty-two thousand, three hundred fifty-six".