1002400105 has 24 divisors (see below), whose sum is σ = 1402123392. Its totient is φ = 685958112.

The previous prime is 1002400031. The next prime is 1002400163. The reversal of 1002400105 is 5010042001.

It is not a de Polignac number, because 1002400105 - 2²⁵ = 968845673 is a prime.

It is a super-2 number, since 2×1002400105² = 2009611941008022050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124224 + ... + 132046.

It is an arithmetic number, because the mean of its divisors is an integer number (58421808).

Almost surely, 2^1002400105 is an apocalyptic number.

It is an amenable number.

1002400105 is a deficient number, since it is larger than the sum of its proper divisors (399723287).

1002400105 is an equidigital number, since it uses as much as digits as its factorization.

1002400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1002400105 is about 31660.7028506949. The cubic root of 1002400105 is about 1000.7993957961.

Adding to 1002400105 its reverse (5010042001), we get a palindrome (6012442106).

The spelling of 1002400105 in words is "one billion, two million, four hundred thousand, one hundred five".