102054800 has 30 divisors (see below), whose sum is σ = 245187618. Its totient is φ = 40821760.

The previous prime is 102054779. The next prime is 102054809. The reversal of 102054800 is 8450201.

It can be written as a sum of positive squares in 3 ways, for example, as 9048064 + 93006736 = 3008^2 + 9644^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102054809) 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, 127169 + ... + 127968.

Almost surely, 2^102054800 is an apocalyptic number.

102054800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102054800 is an abundant number, since it is smaller than the sum of its proper divisors (143132818).

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

102054800 is a wasteful number, since it uses less digits than its factorization.

102054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255155 (or 255144 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 102054800 is about 10102.2175783340. The cubic root of 102054800 is about 467.3165322389.

The spelling of 102054800 in words is "one hundred two million, fifty-four thousand, eight hundred".