10405102131461 has 8 divisors (see below), whose sum is σ = 10541369048064. Its totient is φ = 10269684230400.

The previous prime is 10405102131401. The next prime is 10405102131511. The reversal of 10405102131461 is 16413120150401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10405102131461 is a prime.

It is a super-2 number, since 2×10405102131461² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405102131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212229215 + ... + 212278236.

It is an arithmetic number, because the mean of its divisors is an integer number (1317671131008).

Almost surely, 2^{10405102131461} is an apocalyptic number.

It is an amenable number.

10405102131461 is a deficient number, since it is larger than the sum of its proper divisors (136266916603).

10405102131461 is a wasteful number, since it uses less digits than its factorization.

10405102131461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424507771.

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 10405102131461 its reverse (16413120150401), we get a palindrome (26818222281862).

The spelling of 10405102131461 in words is "ten trillion, four hundred five billion, one hundred two million, one hundred thirty-one thousand, four hundred sixty-one".