106979293159200 has 2592 divisors, whose sum is σ = 517678001987328. Its totient is φ = 20476108800000.

The previous prime is 106979293159199. The next prime is 106979293159253. The reversal of 106979293159200 is 2951392979601.

106979293159200 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 9 + 2 + 9 + 31 + 592 + 0 + 0 = 666.

It is a super-2 number, since 2×106979293159200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 431 ways as a sum of consecutive naturals, for example, 3100741950 + ... + 3100776450.

It is an arithmetic number, because the mean of its divisors is an integer number (199721451384).

Almost surely, 2^{106979293159200} is an apocalyptic number.

106979293159200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106979293159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258839000993664).

106979293159200 is an abundant number, since it is smaller than the sum of its proper divisors (410698708828128).

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

106979293159200 is a wasteful number, since it uses less digits than its factorization.

106979293159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34616 (or 34593 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 106979293159200 in words is "one hundred six trillion, nine hundred seventy-nine billion, two hundred ninety-three million, one hundred fifty-nine thousand, two hundred".