100238523840 has 1260 divisors, whose sum is σ = 450103241016. Its totient is φ = 21103939584.

The previous prime is 100238523797. The next prime is 100238523851. The reversal of 100238523840 is 48325832001.

100238523840 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 385 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100238523795 and 100238523804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214643287 + ... + 214643753.

Almost surely, 2^100238523840 is an apocalyptic number.

100238523840 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 100238523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225051620508).

100238523840 is an abundant number, since it is smaller than the sum of its proper divisors (349864717176).

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

100238523840 is a wasteful number, since it uses less digits than its factorization.

100238523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100238523840 in words is "one hundred billion, two hundred thirty-eight million, five hundred twenty-three thousand, eight hundred forty".