102045968 has 20 divisors (see below), whose sum is σ = 209344860. Its totient is φ = 48021504.

The previous prime is 102045967. The next prime is 102045973. The reversal of 102045968 is 869540201.

It can be written as a sum of positive squares in 2 ways, for example, as 93934864 + 8111104 = 9692^2 + 2848^2 .

It is not an unprimeable number, because it can be changed into a prime (102045961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187313 + ... + 187856.

It is an arithmetic number, because the mean of its divisors is an integer number (10467243).

Almost surely, 2^102045968 is an apocalyptic number.

It is an amenable number.

102045968 is an abundant number, since it is smaller than the sum of its proper divisors (107298892).

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

102045968 is a wasteful number, since it uses less digits than its factorization.

102045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375194 (or 375188 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 102045968 is about 10101.7804371309. The cubic root of 102045968 is about 467.3030510547.

The spelling of 102045968 in words is "one hundred two million, forty-five thousand, nine hundred sixty-eight".