102498400 has 72 divisors (see below), whose sum is σ = 258358464. Its totient is φ = 39667200.

The previous prime is 102498377. The next prime is 102498427. The reversal of 102498400 is 4894201.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22734 + ... + 26866.

It is an arithmetic number, because the mean of its divisors is an integer number (3588312).

Almost surely, 2^102498400 is an apocalyptic number.

102498400 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 102498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232).

102498400 is an abundant number, since it is smaller than the sum of its proper divisors (155860064).

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

102498400 is a wasteful number, since it uses less digits than its factorization.

102498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 102498400 is about 10124.1493469822. The cubic root of 102498400 is about 467.9926460480.

The spelling of 102498400 in words is "one hundred two million, four hundred ninety-eight thousand, four hundred".