100387577416 has 64 divisors (see below), whose sum is σ = 221557668480. Its totient is φ = 41741568000.

The previous prime is 100387577401. The next prime is 100387577431. The reversal of 100387577416 is 614775783001.

It is an interprime number because it is at equal distance from previous prime (100387577401) and next prime (100387577431).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100387577416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662791 + ... + 800041.

It is an arithmetic number, because the mean of its divisors is an integer number (3461838570).

Almost surely, 2^100387577416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100387577416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110778834240).

100387577416 is an abundant number, since it is smaller than the sum of its proper divisors (121170091064).

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

100387577416 is a wasteful number, since it uses less digits than its factorization.

100387577416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137654 (or 137650 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 100387577416 in words is "one hundred billion, three hundred eighty-seven million, five hundred seventy-seven thousand, four hundred sixteen".