105739023572406 has 48 divisors (see below), whose sum is σ = 262390627010304. Its totient is φ = 30146457606192.

The previous prime is 105739023572341. The next prime is 105739023572477. The reversal of 105739023572406 is 604275320937501.

105739023572406 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 3 + 9 + 0 + 23 + 572 + 40 + 6 = 666.

It is a super-2 number, since 2×105739023572406² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898440730 + ... + 898558413.

It is an arithmetic number, because the mean of its divisors is an integer number (5466471396048).

Almost surely, 2^{105739023572406} is an apocalyptic number.

105739023572406 is an abundant number, since it is smaller than the sum of its proper divisors (156651603437898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105739023572406 is a wasteful number, since it uses less digits than its factorization.

105739023572406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796999625 (or 1796999622 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 105739023572406 in words is "one hundred five trillion, seven hundred thirty-nine billion, twenty-three million, five hundred seventy-two thousand, four hundred six".