105860785336080 has 80 divisors (see below), whose sum is σ = 328216978018944. Its totient is φ = 28225366973440.

The previous prime is 105860785336051. The next prime is 105860785336099. The reversal of 105860785336080 is 80633587068501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105860785336080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30997284 + ... + 34242563.

Almost surely, 2^{105860785336080} is an apocalyptic number.

105860785336080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105860785336080 is an abundant number, since it is smaller than the sum of its proper divisors (222356192682864).

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

105860785336080 is a wasteful number, since it uses less digits than its factorization.

105860785336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65246624 (or 65246618 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 105860785336080 in words is "one hundred five trillion, eight hundred sixty billion, seven hundred eighty-five million, three hundred thirty-six thousand, eighty".