100938240 has 240 divisors, whose sum is σ = 377585208. Its totient is φ = 24772608.

The previous prime is 100938217. The next prime is 100938287. The reversal of 100938240 is 42839001.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 49787136 = 7152^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299352 + ... + 299688.

Almost surely, 2^100938240 is an apocalyptic number.

100938240 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 100938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188792604).

100938240 is an abundant number, since it is smaller than the sum of its proper divisors (276646968).

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

100938240 is a wasteful number, since it uses less digits than its factorization.

100938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100938240 is about 10046.8024764101. The cubic root of 100938240 is about 465.6060083541.

The spelling of 100938240 in words is "one hundred million, nine hundred thirty-eight thousand, two hundred forty".