106560335376 has 400 divisors, whose sum is σ = 356138544960. Its totient is φ = 30420956160.

The previous prime is 106560335359. The next prime is 106560335381. The reversal of 106560335376 is 673533065601.

106560335376 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 603 + 3 + 5 + 37 + 6 = 666.

It is a super-2 number, since 2×106560335376² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53359210 + ... + 53361206.

Almost surely, 2^106560335376 is an apocalyptic number.

106560335376 is a gapful number since it is divisible by the number (16) 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 106560335376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178069272480).

106560335376 is an abundant number, since it is smaller than the sum of its proper divisors (249578209584).

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

106560335376 is a wasteful number, since it uses less digits than its factorization.

106560335376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 106560335376 in words is "one hundred six billion, five hundred sixty million, three hundred thirty-five thousand, three hundred seventy-six".