105216632612355 has 32 divisors (see below), whose sum is σ = 185714342369280. Its totient is φ = 50440932481280.

The previous prime is 105216632612339. The next prime is 105216632612363. The reversal of 105216632612355 is 553216236612501.

It is not a de Polignac number, because 105216632612355 - 2⁴ = 105216632612339 is a prime.

It is a super-2 number, since 2×105216632612355² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582437907 + ... + 3582467276.

It is an arithmetic number, because the mean of its divisors is an integer number (5803573199040).

Almost surely, 2^{105216632612355} is an apocalyptic number.

105216632612355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105216632612355 is a deficient number, since it is larger than the sum of its proper divisors (80497709756925).

105216632612355 is a wasteful number, since it uses less digits than its factorization.

105216632612355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164905291.

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 105216632612355 in words is "one hundred five trillion, two hundred sixteen billion, six hundred thirty-two million, six hundred twelve thousand, three hundred fifty-five".