106431885121 has 9 divisors (see below), whose sum is σ = 106877094883. Its totient is φ = 105988526320.

The previous prime is 106431885103. The next prime is 106431885143. The reversal of 106431885121 is 121588134601.

The square root of 106431885121 is 326239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96527654721 + 9904230400 = 310689^2 + 99520^2 .

It is not a de Polignac number, because 106431885121 - 2⁵ = 106431885089 is a prime.

It is a super-2 number, since 2×106431885121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106431885101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101459805 + ... + 101460853.

Almost surely, 2^106431885121 is an apocalyptic number.

106431885121 is the 326239-th square number.

106431885121 is the 163120-th centered octagonal number.

It is an amenable number.

106431885121 is a deficient number, since it is larger than the sum of its proper divisors (445209762).

106431885121 is an frugal number, since it uses more digits than its factorization.

106431885121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 106431885121 in words is "one hundred six billion, four hundred thirty-one million, eight hundred eighty-five thousand, one hundred twenty-one".