102765000 has 320 divisors, whose sum is σ = 377879040. Its totient is φ = 23040000.

The previous prime is 102764957. The next prime is 102765011. The reversal of 102765000 is 567201.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3314985 + ... + 3315015.

It is an arithmetic number, because the mean of its divisors is an integer number (1180872).

Almost surely, 2^102765000 is an apocalyptic number.

102765000 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 102765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

102765000 is an abundant number, since it is smaller than the sum of its proper divisors (275114040).

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

102765000 is a wasteful number, since it uses less digits than its factorization.

102765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 102765000 is about 10137.3073347906. The cubic root of 102765000 is about 468.3980469192.

The spelling of 102765000 in words is "one hundred two million, seven hundred sixty-five thousand".