102054400 has 240 divisors, whose sum is σ = 310533696. Its totient is φ = 32440320.

The previous prime is 102054397. The next prime is 102054409. The reversal of 102054400 is 4450201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102054409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523167 + ... + 1523233.

Almost surely, 2^102054400 is an apocalyptic number.

102054400 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 102054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155266848).

102054400 is an abundant number, since it is smaller than the sum of its proper divisors (208479296).

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

102054400 is an equidigital number, since it uses as much as digits as its factorization.

102054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102054400 is about 10102.1977806812. The cubic root of 102054400 is about 467.3159216949.

The spelling of 102054400 in words is "one hundred two million, fifty-four thousand, four hundred".