100405320742746 has 24 divisors (see below), whose sum is σ = 217911716373780. Its totient is φ = 33412001053056.

The previous prime is 100405320742729. The next prime is 100405320742759. The reversal of 100405320742746 is 647247023504001.

100405320742746 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 532 + 0 + 7 + 42 + 74 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100384589062521 + 20731680225 = 10019211^2 + 143985^2 .

It is a super-2 number, since 2×100405320742746² (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 11 ways as a sum of consecutive naturals, for example, 4703255241 + ... + 4703276588.

Almost surely, 2^{100405320742746} is an apocalyptic number.

100405320742746 is an abundant number, since it is smaller than the sum of its proper divisors (117506395631034).

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

100405320742746 is a wasteful number, since it uses less digits than its factorization.

100405320742746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9406532430 (or 9406532427 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 100405320742746 in words is "one hundred trillion, four hundred five billion, three hundred twenty million, seven hundred forty-two thousand, seven hundred forty-six".