105733361664 has 520 divisors, whose sum is σ = 368217558720. Its totient is φ = 29605036032.

The previous prime is 105733361627. The next prime is 105733361707. The reversal of 105733361664 is 466163337501.

105733361664 is a `hidden beast` number, since 1 + 0 + 573 + 3 + 3 + 6 + 16 + 64 = 666.

It is a super-2 number, since 2×105733361664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123088467 + ... + 123089325.

Almost surely, 2^105733361664 is an apocalyptic number.

105733361664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105733361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184108779360).

105733361664 is an abundant number, since it is smaller than the sum of its proper divisors (262484197056).

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

105733361664 is an frugal number, since it uses more digits than its factorization.

105733361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 105733361664 in words is "one hundred five billion, seven hundred thirty-three million, three hundred sixty-one thousand, six hundred sixty-four".