102351000 has 128 divisors (see below), whose sum is σ = 323294400. Its totient is φ = 26956800.

The previous prime is 102350987. The next prime is 102351001. The reversal of 102351000 is 153201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102351001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326844 + ... + 327156.

Almost surely, 2^102351000 is an apocalyptic number.

102351000 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 102351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161647200).

102351000 is an abundant number, since it is smaller than the sum of its proper divisors (220943400).

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

102351000 is a wasteful number, since it uses less digits than its factorization.

102351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102351000 is about 10116.8671040001. The cubic root of 102351000 is about 467.7682028387.

The spelling of 102351000 in words is "one hundred two million, three hundred fifty-one thousand".