102768400 has 180 divisors, whose sum is σ = 302107648. Its totient is φ = 32901120.

The previous prime is 102768377. The next prime is 102768437. The reversal of 102768400 is 4867201.

It is a super-2 number, since 2×102768400² = 21122688077120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 809137 + ... + 809263.

Almost surely, 2^102768400 is an apocalyptic number.

102768400 is a gapful number since it is divisible by the number (10) 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 102768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151053824).

102768400 is an abundant number, since it is smaller than the sum of its proper divisors (199339248).

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

102768400 is a wasteful number, since it uses less digits than its factorization.

102768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 102768400 is about 10137.4750307954. The cubic root of 102768400 is about 468.4032125424.

The spelling of 102768400 in words is "one hundred two million, seven hundred sixty-eight thousand, four hundred".