100616115000 has 480 divisors, whose sum is σ = 351574272720. Its totient is φ = 23901696000.

The previous prime is 100616114987. The next prime is 100616115073. The reversal of 100616115000 is 511616001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92054454 + ... + 92055546.

Almost surely, 2^100616115000 is an apocalyptic number.

100616115000 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 100616115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175787136360).

100616115000 is an abundant number, since it is smaller than the sum of its proper divisors (250958157720).

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

100616115000 is a wasteful number, since it uses less digits than its factorization.

100616115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100616115000 in words is "one hundred billion, six hundred sixteen million, one hundred fifteen thousand".