100545514314 has 64 divisors (see below), whose sum is σ = 234795110400. Its totient is φ = 28105645248.

The previous prime is 100545514309. The next prime is 100545514331. The reversal of 100545514314 is 413415545001.

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, 6425452 + ... + 6441080.

It is an arithmetic number, because the mean of its divisors is an integer number (3668673600).

Almost surely, 2^100545514314 is an apocalyptic number.

100545514314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100545514314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117397555200).

100545514314 is an abundant number, since it is smaller than the sum of its proper divisors (134249596086).

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

100545514314 is a wasteful number, since it uses less digits than its factorization.

100545514314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 100545514314 in words is "one hundred billion, five hundred forty-five million, five hundred fourteen thousand, three hundred fourteen".