102775968 has 72 divisors (see below), whose sum is σ = 294260148. Its totient is φ = 34025472.

The previous prime is 102775951. The next prime is 102776021. The reversal of 102775968 is 869577201.

It can be written as a sum of positive squares in 2 ways, for example, as 101364624 + 1411344 = 10068^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44080 + ... + 46352.

Almost surely, 2^102775968 is an apocalyptic number.

102775968 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 102775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147130074).

102775968 is an abundant number, since it is smaller than the sum of its proper divisors (191484180).

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

102775968 is a wasteful number, since it uses less digits than its factorization.

102775968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 102775968 is about 10137.8482924139. The cubic root of 102775968 is about 468.4147102028.

The spelling of 102775968 in words is "one hundred two million, seven hundred seventy-five thousand, nine hundred sixty-eight".