10405131 has 16 divisors (see below), whose sum is σ = 15793920. Its totient is φ = 6031520.

The previous prime is 10405111. The next prime is 10405133. The reversal of 10405131 is 13150401.

10405131 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10405131 - 2⁵ = 10405099 is a prime.

It is a super-2 number, since 2×10405131² = 216533502254322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10405131.

It is not an unprimeable number, because it can be changed into a prime (10405133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6096 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (987120).

Almost surely, 2^10405131 is an apocalyptic number.

10405131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10405131 is a deficient number, since it is larger than the sum of its proper divisors (5388789).

10405131 is a wasteful number, since it uses less digits than its factorization.

10405131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10405131 is about 3225.6985290011. The cubic root of 10405131 is about 218.3144677417.

Adding to 10405131 its reverse (13150401), we get a palindrome (23555532).

The spelling of 10405131 in words is "ten million, four hundred five thousand, one hundred thirty-one".