102240768 has 160 divisors (see below), whose sum is σ = 320943744. Its totient is φ = 28311552.

The previous prime is 102240739. The next prime is 102240769. The reversal of 102240768 is 867042201.

It is not an unprimeable number, because it can be changed into a prime (102240769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397696 + ... + 397952.

Almost surely, 2^102240768 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 102240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160471872).

102240768 is an abundant number, since it is smaller than the sum of its proper divisors (218702976).

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

102240768 is an equidigital number, since it uses as much as digits as its factorization.

102240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 102240768 is about 10111.4177047534. The cubic root of 102240768 is about 467.6002137725.

Adding to 102240768 its reverse (867042201), we get a palindrome (969282969).

The spelling of 102240768 in words is "one hundred two million, two hundred forty thousand, seven hundred sixty-eight".