100516710140 has 96 divisors (see below), whose sum is σ = 264625740288. Its totient is φ = 31156704000.

The previous prime is 100516710131. The next prime is 100516710163. The reversal of 100516710140 is 41017615001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98435 + ... + 459045.

It is an arithmetic number, because the mean of its divisors is an integer number (2756518128).

Almost surely, 2^100516710140 is an apocalyptic number.

100516710140 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 100516710140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312870144).

100516710140 is an abundant number, since it is smaller than the sum of its proper divisors (164109030148).

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

100516710140 is a wasteful number, since it uses less digits than its factorization.

100516710140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360819 (or 360817 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 100516710140 in words is "one hundred billion, five hundred sixteen million, seven hundred ten thousand, one hundred forty".