102353000 has 64 divisors (see below), whose sum is σ = 252158400. Its totient is φ = 38779200.

The previous prime is 102352969. The next prime is 102353003. The reversal of 102353000 is 353201.

It is a super-2 number, since 2×102353000² = 20952273218000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102353003) by changing a digit.

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, 16307 + ... + 21693.

It is an arithmetic number, because the mean of its divisors is an integer number (3939975).

Almost surely, 2^102353000 is an apocalyptic number.

102353000 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 102353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126079200).

102353000 is an abundant number, since it is smaller than the sum of its proper divisors (149805400).

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

102353000 is a wasteful number, since it uses less digits than its factorization.

102353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 102353000 is about 10116.9659483464. The cubic root of 102353000 is about 467.7712496427.

The spelling of 102353000 in words is "one hundred two million, three hundred fifty-three thousand".