102178080 has 72 divisors (see below), whose sum is σ = 348687612. Its totient is φ = 27247104.

The previous prime is 102178073. The next prime is 102178093. The reversal of 102178080 is 80871201.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 5588496 = 9828^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 34039 + ... + 36918.

Almost surely, 2^102178080 is an apocalyptic number.

102178080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102178080 is an abundant number, since it is smaller than the sum of its proper divisors (246509532).

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

102178080 is a wasteful number, since it uses less digits than its factorization.

102178080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70978 (or 70967 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 102178080 is about 10108.3173673960. The cubic root of 102178080 is about 467.5046259563.

The spelling of 102178080 in words is "one hundred two million, one hundred seventy-eight thousand, eighty".