10400105140 has 24 divisors (see below), whose sum is σ = 21844647720. Its totient is φ = 4159198848.

The previous prime is 10400105137. The next prime is 10400105161. The reversal of 10400105140 is 4150100401.

It can be written as a sum of positive squares in 4 ways, for example, as 383298084 + 10016807056 = 19578^2 + 100084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53674 + ... + 153886.

It is an arithmetic number, because the mean of its divisors is an integer number (910193655).

Almost surely, 2^10400105140 is an apocalyptic number.

10400105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400105140 is an abundant number, since it is smaller than the sum of its proper divisors (11444542580).

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

10400105140 is a wasteful number, since it uses less digits than its factorization.

10400105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105411 (or 105409 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10400105140 its reverse (4150100401), we get a palindrome (14550205541).

The spelling of 10400105140 in words is "ten billion, four hundred million, one hundred five thousand, one hundred forty".