101514680 has 64 divisors (see below), whose sum is σ = 237047040. Its totient is φ = 39094272.

The previous prime is 101514661. The next prime is 101514713. The reversal of 101514680 is 86415101.

It is a congruent number.

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, 166937 + ... + 167543.

It is an arithmetic number, because the mean of its divisors is an integer number (3703860).

Almost surely, 2^101514680 is an apocalyptic number.

101514680 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 101514680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523520).

101514680 is an abundant number, since it is smaller than the sum of its proper divisors (135532360).

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

101514680 is a wasteful number, since it uses less digits than its factorization.

101514680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 101514680 is about 10075.4493696311. The cubic root of 101514680 is about 466.4906569799.

Adding to 101514680 its reverse (86415101), we get a palindrome (187929781).

The spelling of 101514680 in words is "one hundred one million, five hundred fourteen thousand, six hundred eighty".