102912768 has 180 divisors, whose sum is σ = 351200080. Its totient is φ = 29362176.

The previous prime is 102912763. The next prime is 102912769. The reversal of 102912768 is 867219201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102912763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144798 + ... + 145506.

Almost surely, 2^102912768 is an apocalyptic number.

102912768 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 102912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175600040).

102912768 is an abundant number, since it is smaller than the sum of its proper divisors (248287312).

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

102912768 is an frugal number, since it uses more digits than its factorization.

102912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102912768 is about 10144.5930426016. The cubic root of 102912768 is about 468.6224459337.

The spelling of 102912768 in words is "one hundred two million, nine hundred twelve thousand, seven hundred sixty-eight".