100948638 has 32 divisors (see below), whose sum is σ = 231102720. Its totient is φ = 28797120.

The previous prime is 100948637. The next prime is 100948651. The reversal of 100948638 is 836849001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100948596 and 100948605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100948637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32493 + ... + 35463.

It is an arithmetic number, because the mean of its divisors is an integer number (7221960).

Almost surely, 2^100948638 is an apocalyptic number.

100948638 is an abundant number, since it is smaller than the sum of its proper divisors (130154082).

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

100948638 is a wasteful number, since it uses less digits than its factorization.

100948638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 100948638 is about 10047.3199411584. The cubic root of 100948638 is about 465.6219957045.

The spelling of 100948638 in words is "one hundred million, nine hundred forty-eight thousand, six hundred thirty-eight".