102002976 has 240 divisors, whose sum is σ = 329313600. Its totient is φ = 30868992.

The previous prime is 102002959. The next prime is 102002981. The reversal of 102002976 is 679200201.

It is a super-2 number, since 2×102002976² = 20809214225713152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1728835 + ... + 1728893.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^102002976 is an apocalyptic number.

102002976 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 102002976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

102002976 is an abundant number, since it is smaller than the sum of its proper divisors (227310624).

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

102002976 is a wasteful number, since it uses less digits than its factorization.

102002976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102002976 is about 10099.6522712418. The cubic root of 102002976 is about 467.2374168601.

The spelling of 102002976 in words is "one hundred two million, two thousand, nine hundred seventy-six".