106264431 has 24 divisors (see below), whose sum is σ = 188916000. Its totient is φ = 56051136.

The previous prime is 106264429. The next prime is 106264441. The reversal of 106264431 is 134462601.

106264431 is a `hidden beast` number, since 1 + 0 + 626 + 4 + 4 + 31 = 666.

It is not a de Polignac number, because 106264431 - 2¹ = 106264429 is a prime.

It is a super-2 number, since 2×106264431² = 22584258591507522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106264395 and 106264404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106264441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64056 + ... + 65693.

It is an arithmetic number, because the mean of its divisors is an integer number (7871500).

Almost surely, 2^106264431 is an apocalyptic number.

106264431 is a deficient number, since it is larger than the sum of its proper divisors (82651569).

106264431 is a wasteful number, since it uses less digits than its factorization.

106264431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129775 (or 129772 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106264431 is about 10308.4640465978. The cubic root of 106264431 is about 473.6555608033.

The spelling of 106264431 in words is "one hundred six million, two hundred sixty-four thousand, four hundred thirty-one".