100948640 has 48 divisors (see below), whose sum is σ = 256841928. Its totient is φ = 37272576.

The previous prime is 100948637. The next prime is 100948651. The reversal of 100948640 is 46849001.

It can be written as a sum of positive squares in 4 ways, for example, as 82664464 + 18284176 = 9092^2 + 4276^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 100948597 and 100948606.

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, 22187 + ... + 26346.

Almost surely, 2^100948640 is an apocalyptic number.

100948640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100948640 is an abundant number, since it is smaller than the sum of its proper divisors (155893288).

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

100948640 is a wasteful number, since it uses less digits than its factorization.

100948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48561 (or 48553 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 100948640 is about 10047.3200406875. The cubic root of 100948640 is about 465.6219987795.

The spelling of 100948640 in words is "one hundred million, nine hundred forty-eight thousand, six hundred forty".