102359440 has 20 divisors (see below), whose sum is σ = 237985884. Its totient is φ = 40943744.

The previous prime is 102359401. The next prime is 102359497. The reversal of 102359440 is 44953201.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 51208336 = 7152^2 + 7156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×102359440² = 20954909914227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102359399 and 102359408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 639667 + ... + 639826.

Almost surely, 2^102359440 is an apocalyptic number.

102359440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102359440 is an abundant number, since it is smaller than the sum of its proper divisors (135626444).

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

102359440 is a wasteful number, since it uses less digits than its factorization.

102359440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279506 (or 1279500 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 102359440 is about 10117.2842205801. The cubic root of 102359440 is about 467.7810600820.

The spelling of 102359440 in words is "one hundred two million, three hundred fifty-nine thousand, four hundred forty".