105407066101623 has 64 divisors (see below), whose sum is σ = 167431512568320. Its totient is φ = 58141552896000.

The previous prime is 105407066101567. The next prime is 105407066101637. The reversal of 105407066101623 is 326101660704501.

It is not a de Polignac number, because 105407066101623 - 2⁸ = 105407066101367 is a prime.

It is a super-2 number, since 2×105407066101623² (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 (105407066101643) 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, 92413348 + ... + 93546998.

It is an arithmetic number, because the mean of its divisors is an integer number (2616117383880).

Almost surely, 2^{105407066101623} is an apocalyptic number.

105407066101623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105407066101623 is a deficient number, since it is larger than the sum of its proper divisors (62024446466697).

105407066101623 is a wasteful number, since it uses less digits than its factorization.

105407066101623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136720.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 105407066101623 in words is "one hundred five trillion, four hundred seven billion, sixty-six million, one hundred one thousand, six hundred twenty-three".