102077280 has 96 divisors (see below), whose sum is σ = 357285600. Its totient is φ = 27219456.

The previous prime is 102077273. The next prime is 102077293. The reversal of 102077280 is 82770201.

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 (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7495 + ... + 16134.

It is an arithmetic number, because the mean of its divisors is an integer number (3721725).

Almost surely, 2^102077280 is an apocalyptic number.

102077280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102077280 is an abundant number, since it is smaller than the sum of its proper divisors (255208320).

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

102077280 is a wasteful number, since it uses less digits than its factorization.

102077280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23653 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 102077280 is about 10103.3301440664. The cubic root of 102077280 is about 467.3508422514.

The spelling of 102077280 in words is "one hundred two million, seventy-seven thousand, two hundred eighty".