100416510350 has 96 divisors (see below), whose sum is σ = 214154793216. Its totient is φ = 34702387200.

The previous prime is 100416510319. The next prime is 100416510353. The reversal of 100416510350 is 53015614001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416510353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974947 + ... + 2025153.

It is an arithmetic number, because the mean of its divisors is an integer number (2230779096).

Almost surely, 2^100416510350 is an apocalyptic number.

100416510350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100416510350 is an abundant number, since it is smaller than the sum of its proper divisors (113738282866).

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

100416510350 is a wasteful number, since it uses less digits than its factorization.

100416510350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50430 (or 50425 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 100416510350 in words is "one hundred billion, four hundred sixteen million, five hundred ten thousand, three hundred fifty".