102052000 has 96 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 39456000.

The previous prime is 102051967. The next prime is 102052009. The reversal of 102052000 is 250201.

It is a super-2 number, since 2×102052000² = 20829221408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102052009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123589 + ... + 124411.

It is an arithmetic number, because the mean of its divisors is an integer number (2699424).

Almost surely, 2^102052000 is an apocalyptic number.

102052000 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 102052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572352).

102052000 is an abundant number, since it is smaller than the sum of its proper divisors (157092704).

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

102052000 is an equidigital number, since it uses as much as digits as its factorization.

102052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 102052000 is about 10102.0789939497. The cubic root of 102052000 is about 467.3122583970.

The spelling of 102052000 in words is "one hundred two million, fifty-two thousand".