102050080 has 96 divisors (see below), whose sum is σ = 274555008. Its totient is φ = 35481600.

The previous prime is 102050071. The next prime is 102050093. The reversal of 102050080 is 80050201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 39220 + ... + 41740.

It is an arithmetic number, because the mean of its divisors is an integer number (2859948).

Almost surely, 2^102050080 is an apocalyptic number.

102050080 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 102050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137277504).

102050080 is an abundant number, since it is smaller than the sum of its proper divisors (172504928).

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

102050080 is a wasteful number, since it uses less digits than its factorization.

102050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102050080 is about 10101.9839635588. The cubic root of 102050080 is about 467.3093277173.

The spelling of 102050080 in words is "one hundred two million, fifty thousand, eighty".