100938000 has 80 divisors (see below), whose sum is σ = 325443456. Its totient is φ = 26915200.

The previous prime is 100937987. The next prime is 100938011. The reversal of 100938000 is 839001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412 + ... + 14411.

Almost surely, 2^100938000 is an apocalyptic number.

100938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162721728).

100938000 is an abundant number, since it is smaller than the sum of its proper divisors (224505456).

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

100938000 is a wasteful number, since it uses less digits than its factorization.

100938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100938000 is about 10046.7905323043. The cubic root of 100938000 is about 465.6056393313.

The spelling of 100938000 in words is "one hundred million, nine hundred thirty-eight thousand".