102490400 has 36 divisors (see below), whose sum is σ = 250206642. Its totient is φ = 40995840.

The previous prime is 102490363. The next prime is 102490429. The reversal of 102490400 is 4094201.

It can be written as a sum of positive squares in 3 ways, for example, as 53993104 + 48497296 = 7348^2 + 6964^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 63257 + ... + 64856.

Almost surely, 2^102490400 is an apocalyptic number.

102490400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102490400 is an abundant number, since it is smaller than the sum of its proper divisors (147716242).

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

102490400 is a wasteful number, since it uses less digits than its factorization.

102490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128133 (or 128120 counting only the distinct ones).

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

The square root of 102490400 is about 10123.7542443503. The cubic root of 102490400 is about 467.9804701228.

The spelling of 102490400 in words is "one hundred two million, four hundred ninety thousand, four hundred".