102166400 has 96 divisors (see below), whose sum is σ = 288500880. Its totient is φ = 35020800.

The previous prime is 102166387. The next prime is 102166403. The reversal of 102166400 is 4661201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102166403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20120 + ... + 24680.

Almost surely, 2^102166400 is an apocalyptic number.

102166400 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 102166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144250440).

102166400 is an abundant number, since it is smaller than the sum of its proper divisors (186334480).

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

102166400 is an equidigital number, since it uses as much as digits as its factorization.

102166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4575 counting only the distinct ones).

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

The square root of 102166400 is about 10107.7396088344. The cubic root of 102166400 is about 467.4868117568.

The spelling of 102166400 in words is "one hundred two million, one hundred sixty-six thousand, four hundred".