102051400 has 72 divisors (see below), whose sum is σ = 260862210. Its totient is φ = 37100800.

The previous prime is 102051373. The next prime is 102051401. The reversal of 102051400 is 4150201.

It can be written as a sum of positive squares in 3 ways, for example, as 92428996 + 9622404 = 9614^2 + 3102^2 .

It is not an unprimeable number, because it can be changed into a prime (102051401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 22092 + ... + 26308.

Almost surely, 2^102051400 is an apocalyptic number.

102051400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130431105).

102051400 is an abundant number, since it is smaller than the sum of its proper divisors (158810810).

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

102051400 is a wasteful number, since it uses less digits than its factorization.

102051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102051400 is about 10102.0492970486. The cubic root of 102051400 is about 467.3113425635.

The spelling of 102051400 in words is "one hundred two million, fifty-one thousand, four hundred".