100705943456496 has 160 divisors (see below), whose sum is σ = 330364911641600. Its totient is φ = 28772535294720.

The previous prime is 100705943456479. The next prime is 100705943456509. The reversal of 100705943456496 is 694654349507001.

It is a happy number.

100705943456496 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 0 + 5 + 94 + 3 + 4 + 56 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 159082170 + ... + 159713958.

It is an arithmetic number, because the mean of its divisors is an integer number (2064780697760).

Almost surely, 2^{100705943456496} is an apocalyptic number.

100705943456496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100705943456496 is an abundant number, since it is smaller than the sum of its proper divisors (229658968185104).

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

100705943456496 is a wasteful number, since it uses less digits than its factorization.

100705943456496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684524 (or 684512 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 100705943456496 in words is "one hundred trillion, seven hundred five billion, nine hundred forty-three million, four hundred fifty-six thousand, four hundred ninety-six".