102250080 has 96 divisors (see below), whose sum is σ = 357890400. Its totient is φ = 27265536.

The previous prime is 102250061. The next prime is 102250081. The reversal of 102250080 is 80052201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102250081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7515 + ... + 16154.

It is an arithmetic number, because the mean of its divisors is an integer number (3728025).

Almost surely, 2^102250080 is an apocalyptic number.

102250080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102250080 is an abundant number, since it is smaller than the sum of its proper divisors (255640320).

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

102250080 is a wasteful number, since it uses less digits than its factorization.

102250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23693 (or 23679 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102250080 is about 10111.8781638230. The cubic root of 102250080 is about 467.6144095481.

The spelling of 102250080 in words is "one hundred two million, two hundred fifty thousand, eighty".