100531516140 has 144 divisors (see below), whose sum is σ = 333548167680. Its totient is φ = 24306791040.

The previous prime is 100531516139. The next prime is 100531516153. The reversal of 100531516140 is 41615135001.

100531516140 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 1 + 516 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683437 + ... + 817403.

It is an arithmetic number, because the mean of its divisors is an integer number (2316306720).

Almost surely, 2^100531516140 is an apocalyptic number.

100531516140 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 100531516140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166774083840).

100531516140 is an abundant number, since it is smaller than the sum of its proper divisors (233016651540).

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

100531516140 is a wasteful number, since it uses less digits than its factorization.

100531516140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134372 (or 134367 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 100531516140 in words is "one hundred billion, five hundred thirty-one million, five hundred sixteen thousand, one hundred forty".