102119976 has 96 divisors (see below), whose sum is σ = 322133760. Its totient is φ = 28619136.

The previous prime is 102119959. The next prime is 102119987. The reversal of 102119976 is 679911201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102119976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24801 + ... + 28623.

It is an arithmetic number, because the mean of its divisors is an integer number (3355560).

Almost surely, 2^102119976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102119976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161066880).

102119976 is an abundant number, since it is smaller than the sum of its proper divisors (220013784).

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

102119976 is a wasteful number, since it uses less digits than its factorization.

102119976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 102119976 is about 10105.4428898490. The cubic root of 102119976 is about 467.4159929887.

The spelling of 102119976 in words is "one hundred two million, one hundred nineteen thousand, nine hundred seventy-six".