14515400100 has 144 divisors (see below), whose sum is σ = 43337726208. Its totient is φ = 3749007360.

The previous prime is 14515400093. The next prime is 14515400117. The reversal of 14515400100 is 100451541.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362394 + ... + 1373006.

It is an arithmetic number, because the mean of its divisors is an integer number (300956432).

Almost surely, 2^14515400100 is an apocalyptic number.

14515400100 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 14515400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21668863104).

14515400100 is an abundant number, since it is smaller than the sum of its proper divisors (28822326108).

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

14515400100 is a wasteful number, since it uses less digits than its factorization.

14515400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 14515400100 its reverse (100451541), we get a palindrome (14615851641).

The spelling of 14515400100 in words is "fourteen billion, five hundred fifteen million, four hundred thousand, one hundred".