102054580 has 24 divisors (see below), whose sum is σ = 214943400. Its totient is φ = 40702080.

The previous prime is 102054577. The next prime is 102054593. The reversal of 102054580 is 85450201.

It can be written as a sum of positive squares in 4 ways, for example, as 327184 + 101727396 = 572^2 + 10086^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331 + ... + 14290.

It is an arithmetic number, because the mean of its divisors is an integer number (8955975).

Almost surely, 2^102054580 is an apocalyptic number.

102054580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102054580 is an abundant number, since it is smaller than the sum of its proper divisors (112888820).

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

102054580 is a wasteful number, since it uses less digits than its factorization.

102054580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979 (or 14977 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 102054580 is about 10102.2066896297. The cubic root of 102054580 is about 467.3161964399.

The spelling of 102054580 in words is "one hundred two million, fifty-four thousand, five hundred eighty".