102780080 has 80 divisors (see below), whose sum is σ = 264399744. Its totient is φ = 36910080.

The previous prime is 102780061. The next prime is 102780121. The reversal of 102780080 is 80087201.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 37145 + ... + 39815.

Almost surely, 2^102780080 is an apocalyptic number.

102780080 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 102780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132199872).

102780080 is an abundant number, since it is smaller than the sum of its proper divisors (161619664).

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

102780080 is a wasteful number, since it uses less digits than its factorization.

102780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 102780080 is about 10138.0510947618. The cubic root of 102780080 is about 468.4209571093.

The spelling of 102780080 in words is "one hundred two million, seven hundred eighty thousand, eighty".