102768080 has 20 divisors (see below), whose sum is σ = 238935972. Its totient is φ = 41107200.

The previous prime is 102768073. The next prime is 102768091. The reversal of 102768080 is 80867201.

It can be written as a sum of positive squares in 2 ways, for example, as 35331136 + 67436944 = 5944^2 + 8212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×102768080² = 21122556533772800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642221 + ... + 642380.

Almost surely, 2^102768080 is an apocalyptic number.

102768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102768080 is an abundant number, since it is smaller than the sum of its proper divisors (136167892).

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

102768080 is a wasteful number, since it uses less digits than its factorization.

102768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284614 (or 1284608 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 102768080 is about 10137.4592477603. The cubic root of 102768080 is about 468.4027263709.

The spelling of 102768080 in words is "one hundred two million, seven hundred sixty-eight thousand, eighty".