100438253280 has 72 divisors (see below), whose sum is σ = 342745544232. Its totient is φ = 26783533824.

The previous prime is 100438253273. The next prime is 100438253281. The reversal of 100438253280 is 82352834001.

100438253280 is a `hidden beast` number, since 1 + 0 + 0 + 43 + 8 + 2 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100438253281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34872954 + ... + 34875833.

It is an arithmetic number, because the mean of its divisors is an integer number (4760354781).

Almost surely, 2^100438253280 is an apocalyptic number.

100438253280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100438253280 is an abundant number, since it is smaller than the sum of its proper divisors (242307290952).

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

100438253280 is a wasteful number, since it uses less digits than its factorization.

100438253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69748808 (or 69748797 counting only the distinct ones).

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

The spelling of 100438253280 in words is "one hundred billion, four hundred thirty-eight million, two hundred fifty-three thousand, two hundred eighty".