102014976 has 112 divisors (see below), whose sum is σ = 311408064. Its totient is φ = 29097984.

The previous prime is 102014951. The next prime is 102014987. The reversal of 102014976 is 679410201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171736 + ... + 172328.

Almost surely, 2^102014976 is an apocalyptic number.

102014976 is a gapful number since it is divisible by the number (16) 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 102014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155704032).

102014976 is an abundant number, since it is smaller than the sum of its proper divisors (209393088).

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

102014976 is an frugal number, since it uses more digits than its factorization.

102014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 102014976 is about 10100.2463336297. The cubic root of 102014976 is about 467.2557386430.

The spelling of 102014976 in words is "one hundred two million, fourteen thousand, nine hundred seventy-six".