106130400405 has 64 divisors (see below), whose sum is σ = 181448294400. Its totient is φ = 52851591936.

The previous prime is 106130400403. The next prime is 106130400443. The reversal of 106130400405 is 504004031601.

It is not a de Polignac number, because 106130400405 - 2¹ = 106130400403 is a prime.

It is a super-2 number, since 2×106130400405² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106130400403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3624132 + ... + 3653298.

It is an arithmetic number, because the mean of its divisors is an integer number (2835129600).

Almost surely, 2^106130400405 is an apocalyptic number.

106130400405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106130400405 is a deficient number, since it is larger than the sum of its proper divisors (75317893995).

106130400405 is a wasteful number, since it uses less digits than its factorization.

106130400405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29450.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 106130400405 in words is "one hundred six billion, one hundred thirty million, four hundred thousand, four hundred five".