106096479546960 has 640 divisors, whose sum is σ = 431236932403200. Its totient is φ = 23462100541440.

The previous prime is 106096479546949. The next prime is 106096479547021. The reversal of 106096479546960 is 69645974690601.

106096479546960 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 6 + 4 + 79 + 546 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×106096479546960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1887507336 + ... + 1887563544.

It is an arithmetic number, because the mean of its divisors is an integer number (673807706880).

Almost surely, 2^{106096479546960} is an apocalyptic number.

106096479546960 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 106096479546960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215618466201600).

106096479546960 is an abundant number, since it is smaller than the sum of its proper divisors (325140452856240).

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

106096479546960 is a wasteful number, since it uses less digits than its factorization.

106096479546960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60296 (or 60284 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 106096479546960 in words is "one hundred six trillion, ninety-six billion, four hundred seventy-nine million, five hundred forty-six thousand, nine hundred sixty".