100940468640 has 96 divisors (see below), whose sum is σ = 346868174016. Its totient is φ = 24470415360.

The previous prime is 100940468599. The next prime is 100940468647. The reversal of 100940468640 is 46864049001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100940468592 and 100940468601.

It is not an unprimeable number, because it can be changed into a prime (100940468647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9553477 + ... + 9564036.

It is an arithmetic number, because the mean of its divisors is an integer number (3613210146).

Almost surely, 2^100940468640 is an apocalyptic number.

100940468640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100940468640 is an abundant number, since it is smaller than the sum of its proper divisors (245927705376).

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

100940468640 is a wasteful number, since it uses less digits than its factorization.

100940468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117542 (or 19117534 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 100940468640 in words is "one hundred billion, nine hundred forty million, four hundred sixty-eight thousand, six hundred forty".