100391958 has 24 divisors (see below), whose sum is σ = 218156328. Its totient is φ = 33365472.

The previous prime is 100391957. The next prime is 100391959. The reversal of 100391958 is 859193001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100391957) and next prime (100391959).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100391957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1791 + ... + 14282.

It is an arithmetic number, because the mean of its divisors is an integer number (9089847).

Almost surely, 2^100391958 is an apocalyptic number.

100391958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100391958 is an abundant number, since it is smaller than the sum of its proper divisors (117764370).

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

100391958 is a wasteful number, since it uses less digits than its factorization.

100391958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16428 (or 16425 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 100391958 is about 10019.5787336594. The cubic root of 100391958 is about 464.7645287160.

The spelling of 100391958 in words is "one hundred million, three hundred ninety-one thousand, nine hundred fifty-eight".