106361606161131 has 32 divisors (see below), whose sum is σ = 143443427819328. Its totient is φ = 70095470592000.

The previous prime is 106361606161003. The next prime is 106361606161147. The reversal of 106361606161131 is 131161606163601.

It is not a de Polignac number, because 106361606161131 - 2⁷ = 106361606161003 is a prime.

It is a super-2 number, since 2×106361606161131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106361606561131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3798479131 + ... + 3798507131.

It is an arithmetic number, because the mean of its divisors is an integer number (4482607119354).

Almost surely, 2^{106361606161131} is an apocalyptic number.

106361606161131 is a deficient number, since it is larger than the sum of its proper divisors (37081821658197).

106361606161131 is a wasteful number, since it uses less digits than its factorization.

106361606161131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751.

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 106361606161131 in words is "one hundred six trillion, three hundred sixty-one billion, six hundred six million, one hundred sixty-one thousand, one hundred thirty-one".