102758768 has 80 divisors (see below), whose sum is σ = 236693184. Its totient is φ = 42301440.

The previous prime is 102758759. The next prime is 102758791. The reversal of 102758768 is 867857201.

It is a Cunningham number, because it is equal to 10137²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567638 + ... + 567818.

Almost surely, 2^102758768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102758768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118346592).

102758768 is an abundant number, since it is smaller than the sum of its proper divisors (133934416).

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

102758768 is a wasteful number, since it uses less digits than its factorization.

102758768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 102758768 is about 10136.9999506757. Note that the first 4 decimals coincide. The cubic root of 102758768 is about 468.3885783399.

It can be divided in two parts, 1027 and 58768, that added together give a palindrome (59795).

The spelling of 102758768 in words is "one hundred two million, seven hundred fifty-eight thousand, seven hundred sixty-eight".