102140880 has 80 divisors (see below), whose sum is σ = 318295104. Its totient is φ = 27095040.

The previous prime is 102140869. The next prime is 102140921. The reversal of 102140880 is 88041201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102140880.

It is a congruent number.

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, 49632 + ... + 51648.

Almost surely, 2^102140880 is an apocalyptic number.

102140880 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 102140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159147552).

102140880 is an abundant number, since it is smaller than the sum of its proper divisors (216154224).

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

102140880 is a wasteful number, since it uses less digits than its factorization.

102140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 102140880 is about 10106.4771310284. The cubic root of 102140880 is about 467.4478842264.

The spelling of 102140880 in words is "one hundred two million, one hundred forty thousand, eight hundred eighty".