100416546312 has 64 divisors (see below), whose sum is σ = 259857676800. Its totient is φ = 32298094080.

The previous prime is 100416546311. The next prime is 100416546359. The reversal of 100416546312 is 213645614001.

It is not an unprimeable number, because it can be changed into a prime (100416546311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109737 + ... + 1196807.

It is an arithmetic number, because the mean of its divisors is an integer number (4060276200).

Almost surely, 2^100416546312 is an apocalyptic number.

100416546312 is a gapful number since it is divisible by the number (12) 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 100416546312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129928838400).

100416546312 is an abundant number, since it is smaller than the sum of its proper divisors (159441130488).

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

100416546312 is a wasteful number, since it uses less digits than its factorization.

100416546312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88766 (or 88762 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 100416546312 in words is "one hundred billion, four hundred sixteen million, five hundred forty-six thousand, three hundred twelve".