106105005100560 has 80 divisors (see below), whose sum is σ = 328935284847936. Its totient is φ = 28293827679744.

The previous prime is 106105005100553. The next prime is 106105005100561. The reversal of 106105005100560 is 65001500501601.

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

It is a super-2 number, since 2×106105005100560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106105005100561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553347 + ... + 14650013.

Almost surely, 2^{106105005100560} is an apocalyptic number.

106105005100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105005100560 is an abundant number, since it is smaller than the sum of its proper divisors (222830279747376).

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

106105005100560 is a wasteful number, since it uses less digits than its factorization.

106105005100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130440 (or 13130434 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106105005100560 in words is "one hundred six trillion, one hundred five billion, five million, one hundred thousand, five hundred sixty".