100152339840 has 1280 divisors, whose sum is σ = 437913907200. Its totient is φ = 21319925760.

The previous prime is 100152339773. The next prime is 100152339841. The reversal of 100152339840 is 48933251001.

100152339840 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 523 + 3 + 98 + 40 = 666.

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 = 100152339795 and 100152339804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100152339841) 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 159 ways as a sum of consecutive naturals, for example, 326228967 + ... + 326229273.

It is an arithmetic number, because the mean of its divisors is an integer number (342120240).

Almost surely, 2^100152339840 is an apocalyptic number.

100152339840 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 100152339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218956953600).

100152339840 is an abundant number, since it is smaller than the sum of its proper divisors (337761567360).

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

100152339840 is a wasteful number, since it uses less digits than its factorization.

100152339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100152339840 in words is "one hundred billion, one hundred fifty-two million, three hundred thirty-nine thousand, eight hundred forty".