102083600 has 30 divisors (see below), whose sum is σ = 245256810. Its totient is φ = 40833280.

The previous prime is 102083581. The next prime is 102083603. The reversal of 102083600 is 6380201.

It can be written as a sum of positive squares in 3 ways, for example, as 8690704 + 93392896 = 2948^2 + 9664^2 .

It is a super-2 number, since 2×102083600² = 20842122777920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102083603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127205 + ... + 128004.

It is an arithmetic number, because the mean of its divisors is an integer number (8175227).

Almost surely, 2^102083600 is an apocalyptic number.

102083600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102083600 is an abundant number, since it is smaller than the sum of its proper divisors (143173210).

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

102083600 is a wasteful number, since it uses less digits than its factorization.

102083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255227 (or 255216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102083600 is about 10103.6429073874. The cubic root of 102083600 is about 467.3604872197.

The spelling of 102083600 in words is "one hundred two million, eighty-three thousand, six hundred".