102768500 has 24 divisors (see below), whose sum is σ = 224447496. Its totient is φ = 41107200.

The previous prime is 102768481. The next prime is 102768517. The reversal of 102768500 is 5867201.

It can be written as a sum of positive squares in 4 ways, for example, as 14182756 + 88585744 = 3766^2 + 9412^2 .

It is a super-2 number, since 2×102768500² = 21122729184500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102269 + ... + 103268.

It is an arithmetic number, because the mean of its divisors is an integer number (9351979).

Almost surely, 2^102768500 is an apocalyptic number.

102768500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102768500 is an abundant number, since it is smaller than the sum of its proper divisors (121678996).

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

102768500 is a wasteful number, since it uses less digits than its factorization.

102768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205556 (or 205544 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 102768500 is about 10137.4799629888. The cubic root of 102768500 is about 468.4033644707.

The spelling of 102768500 in words is "one hundred two million, seven hundred sixty-eight thousand, five hundred".