102345000 has 80 divisors (see below), whose sum is σ = 319772640. Its totient is φ = 27288000.

The previous prime is 102344953. The next prime is 102345011. The reversal of 102345000 is 543201.

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

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 19 ways as a sum of consecutive naturals, for example, 11589 + ... + 18411.

It is an arithmetic number, because the mean of its divisors is an integer number (3997158).

Almost surely, 2^102345000 is an apocalyptic number.

102345000 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 102345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159886320).

102345000 is an abundant number, since it is smaller than the sum of its proper divisors (217427640).

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

102345000 is an equidigital number, since it uses as much as digits as its factorization.

102345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102345000 is about 10116.5705651668. The cubic root of 102345000 is about 467.7590621885.

Adding to 102345000 its reverse (543201), we get a palindrome (102888201).

The spelling of 102345000 in words is "one hundred two million, three hundred forty-five thousand".