100705640 has 32 divisors (see below), whose sum is σ = 258958080. Its totient is φ = 34527552.

The previous prime is 100705607. The next prime is 100705669. The reversal of 100705640 is 46507001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179552 + ... + 180111.

It is an arithmetic number, because the mean of its divisors is an integer number (8092440).

Almost surely, 2^100705640 is an apocalyptic number.

100705640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100705640 is an abundant number, since it is smaller than the sum of its proper divisors (158252440).

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

100705640 is a wasteful number, since it uses less digits than its factorization.

100705640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359681 (or 359677 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 100705640 is about 10035.2199776587. The cubic root of 100705640 is about 465.2480889892.

The spelling of 100705640 in words is "one hundred million, seven hundred five thousand, six hundred forty".