105601106501904 has 80 divisors (see below), whose sum is σ = 300038495807232. Its totient is φ = 31801315206144.

The previous prime is 105601106501843. The next prime is 105601106501911. The reversal of 105601106501904 is 409105601106501.

It is a super-2 number, since 2×105601106501904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1800316869 + ... + 1800375524.

Almost surely, 2^{105601106501904} is an apocalyptic number.

It is an amenable number.

105601106501904 is an abundant number, since it is smaller than the sum of its proper divisors (194437389305328).

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

105601106501904 is a wasteful number, since it uses less digits than its factorization.

105601106501904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600692464 (or 3600692458 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 105601106501904 in words is "one hundred five trillion, six hundred one billion, one hundred six million, five hundred one thousand, nine hundred four".