102765348 has 90 divisors (see below), whose sum is σ = 312558246. Its totient is φ = 29356992.

The previous prime is 102765331. The next prime is 102765367. The reversal of 102765348 is 843567201.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 29354724 = 8568^2 + 5418^2 .

It is a super-2 number, since 2×102765348² = 21121433499122208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12640 + ... + 19112.

Almost surely, 2^102765348 is an apocalyptic number.

102765348 is a gapful number since it is divisible by the number (18) 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 102765348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156279123).

102765348 is an abundant number, since it is smaller than the sum of its proper divisors (209792898).

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

102765348 is a wasteful number, since it uses less digits than its factorization.

102765348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 102765348 is about 10137.3244990974. The cubic root of 102765348 is about 468.3985756411.

The spelling of 102765348 in words is "one hundred two million, seven hundred sixty-five thousand, three hundred forty-eight".