102352000 has 64 divisors (see below), whose sum is σ = 254512440. Its totient is φ = 40934400.

The previous prime is 102351983. The next prime is 102352037. The reversal of 102352000 is 253201.

It can be written as a sum of positive squares in 4 ways, for example, as 5053504 + 97298496 = 2248^2 + 9864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12802 + ... + 19198.

Almost surely, 2^102352000 is an apocalyptic number.

102352000 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 102352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127256220).

102352000 is an abundant number, since it is smaller than the sum of its proper divisors (152160440).

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

102352000 is an frugal number, since it uses more digits than its factorization.

102352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 102352000 is about 10116.9165262940. The cubic root of 102352000 is about 467.7697262457.

The spelling of 102352000 in words is "one hundred two million, three hundred fifty-two thousand".