100538081280 has 1568 divisors, whose sum is σ = 457263422784. Its totient is φ = 20639121408.

The previous prime is 100538081213. The next prime is 100538081291. The reversal of 100538081280 is 82180835001.

100538081280 is a `hidden beast` number, since 100 + 538 + 0 + 8 + 12 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2717245422 + ... + 2717245458.

Almost surely, 2^100538081280 is an apocalyptic number.

100538081280 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 100538081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228631711392).

100538081280 is an abundant number, since it is smaller than the sum of its proper divisors (356725341504).

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

100538081280 is an frugal number, since it uses more digits than its factorization.

100538081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 100538081280 in words is "one hundred billion, five hundred thirty-eight million, eighty-one thousand, two hundred eighty".