102089800 has 24 divisors (see below), whose sum is σ = 237359250. Its totient is φ = 40835840.

The previous prime is 102089791. The next prime is 102089807. The reversal of 102089800 is 8980201.

It can be written as a sum of positive squares in 3 ways, for example, as 90516196 + 11573604 = 9514^2 + 3402^2 .

It is not an unprimeable number, because it can be changed into a prime (102089807) 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, 255025 + ... + 255424.

Almost surely, 2^102089800 is an apocalyptic number.

102089800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102089800 is an abundant number, since it is smaller than the sum of its proper divisors (135269450).

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

102089800 is a wasteful number, since it uses less digits than its factorization.

102089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510465 (or 510456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 102089800 is about 10103.9497227569. The cubic root of 102089800 is about 467.3699486688.

The spelling of 102089800 in words is "one hundred two million, eighty-nine thousand, eight hundred".