102689440 has 96 divisors (see below), whose sum is σ = 279103104. Its totient is φ = 34974720.

The previous prime is 102689423. The next prime is 102689449. The reversal of 102689440 is 44986201.

It is a junction number, because it is equal to n+sod(n) for n = 102689396 and 102689405.

It is not an unprimeable number, because it can be changed into a prime (102689449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310075 + ... + 310405.

It is an arithmetic number, because the mean of its divisors is an integer number (2907324).

Almost surely, 2^102689440 is an apocalyptic number.

102689440 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 102689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139551552).

102689440 is an abundant number, since it is smaller than the sum of its proper divisors (176413664).

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

102689440 is a wasteful number, since it uses less digits than its factorization.

102689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 102689440 is about 10133.5798215636. The cubic root of 102689440 is about 468.2832191269.

The spelling of 102689440 in words is "one hundred two million, six hundred eighty-nine thousand, four hundred forty".