105601106000550 has 96 divisors (see below), whose sum is σ = 262375671168000. Its totient is φ = 28108169256960.

The previous prime is 105601106000521. The next prime is 105601106000567. The reversal of 105601106000550 is 55000601106501.

It is a super-2 number, since 2×105601106000550² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507278886 + ... + 507487014.

It is an arithmetic number, because the mean of its divisors is an integer number (2733079908000).

Almost surely, 2^{105601106000550} is an apocalyptic number.

105601106000550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105601106000550 is an abundant number, since it is smaller than the sum of its proper divisors (156774565167450).

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

105601106000550 is a wasteful number, since it uses less digits than its factorization.

105601106000550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214390 (or 214385 counting only the distinct ones).

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

The spelling of 105601106000550 in words is "one hundred five trillion, six hundred one billion, one hundred six million, five hundred fifty", and thus it is an aban number.