105156506615601 has 64 divisors (see below), whose sum is σ = 164665037979648. Its totient is φ = 58445427797568.

The previous prime is 105156506615581. The next prime is 105156506615623. The reversal of 105156506615601 is 106516605651501.

It is not a de Polignac number, because 105156506615601 - 2¹⁴ = 105156506599217 is a prime.

It is a super-2 number, since 2×105156506615601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105156506615681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3241253286 + ... + 3241285728.

It is an arithmetic number, because the mean of its divisors is an integer number (2572891218432).

Almost surely, 2^{105156506615601} is an apocalyptic number.

It is an amenable number.

105156506615601 is a deficient number, since it is larger than the sum of its proper divisors (59508531364047).

105156506615601 is a wasteful number, since it uses less digits than its factorization.

105156506615601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52810.

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 105156506615601 in words is "one hundred five trillion, one hundred fifty-six billion, five hundred six million, six hundred fifteen thousand, six hundred one".