105601110100551 has 48 divisors (see below), whose sum is σ = 166584994535232. Its totient is φ = 64068873523200.

The previous prime is 105601110100543. The next prime is 105601110100567. The reversal of 105601110100551 is 155001011106501.

105601110100551 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 1 + 1 + 1 + 0 + 100 + 551 = 666.

It is not a de Polignac number, because 105601110100551 - 2³ = 105601110100543 is a prime.

It is a super-2 number, since 2×105601110100551² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601110100501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875273191 + ... + 875393831.

It is an arithmetic number, because the mean of its divisors is an integer number (3470520719484).

Almost surely, 2^{105601110100551} is an apocalyptic number.

105601110100551 is a deficient number, since it is larger than the sum of its proper divisors (60983884434681).

105601110100551 is a wasteful number, since it uses less digits than its factorization.

105601110100551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226104 (or 226101 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 105601110100551 in words is "one hundred five trillion, six hundred one billion, one hundred ten million, one hundred thousand, five hundred fifty-one".