105500010556051 has 16 divisors (see below), whose sum is σ = 111343843389600. Its totient is φ = 99685361664000.

The previous prime is 105500010556021. The next prime is 105500010556063. The reversal of 105500010556051 is 150655010005501.

It is a cyclic number.

It is not a de Polignac number, because 105500010556051 - 2¹⁷ = 105500010424979 is a prime.

It is a super-2 number, since 2×105500010556051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105500010555998 and 105500010556016.

It is not an unprimeable number, because it can be changed into a prime (105500010556021) 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, 58857595 + ... + 60623563.

It is an arithmetic number, because the mean of its divisors is an integer number (6958990211850).

Almost surely, 2^{105500010556051} is an apocalyptic number.

105500010556051 is a deficient number, since it is larger than the sum of its proper divisors (5843832833549).

105500010556051 is a wasteful number, since it uses less digits than its factorization.

105500010556051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774230.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105500010556051 in words is "one hundred five trillion, five hundred billion, ten million, five hundred fifty-six thousand, fifty-one".