100438859520 has 432 divisors, whose sum is σ = 364203272160. Its totient is φ = 26499612672.

The previous prime is 100438859501. The next prime is 100438859539. The reversal of 100438859520 is 25958834001.

100438859520 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 38 + 8 + 595 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (100438859501) and next prime (100438859539).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30169216 + ... + 30172544.

It is an arithmetic number, because the mean of its divisors is an integer number (843063130).

Almost surely, 2^100438859520 is an apocalyptic number.

100438859520 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 100438859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182101636080).

100438859520 is an abundant number, since it is smaller than the sum of its proper divisors (263764412640).

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

100438859520 is an frugal number, since it uses more digits than its factorization.

100438859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100438859520 in words is "one hundred billion, four hundred thirty-eight million, eight hundred fifty-nine thousand, five hundred twenty".