102552000 has 112 divisors (see below), whose sum is σ = 338705952. Its totient is φ = 27340800.

The previous prime is 102551983. The next prime is 102552019. The reversal of 102552000 is 255201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21864 + ... + 26136.

Almost surely, 2^102552000 is an apocalyptic number.

102552000 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 102552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169352976).

102552000 is an abundant number, since it is smaller than the sum of its proper divisors (236153952).

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

102552000 is an equidigital number, since it uses as much as digits as its factorization.

102552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102552000 is about 10126.7961369823. The cubic root of 102552000 is about 468.0742084093.

The spelling of 102552000 in words is "one hundred two million, five hundred fifty-two thousand".