106225642131 has 32 divisors (see below), whose sum is σ = 163759449600. Its totient is φ = 59993068800.

The previous prime is 106225642123. The next prime is 106225642141. The reversal of 106225642131 is 131246522601.

It is not a de Polignac number, because 106225642131 - 2³ = 106225642123 is a prime.

It is a super-2 number, since 2×106225642131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106225642092 and 106225642101.

It is not an unprimeable number, because it can be changed into a prime (106225642121) 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 31 ways as a sum of consecutive naturals, for example, 1162840 + ... + 1250858.

It is an arithmetic number, because the mean of its divisors is an integer number (5117482800).

Almost surely, 2^106225642131 is an apocalyptic number.

106225642131 is a deficient number, since it is larger than the sum of its proper divisors (57533807469).

106225642131 is a wasteful number, since it uses less digits than its factorization.

106225642131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88699.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 106225642131 in words is "one hundred six billion, two hundred twenty-five million, six hundred forty-two thousand, one hundred thirty-one".