106164216431 has 32 divisors (see below), whose sum is σ = 137248032768. Its totient is φ = 79813641600.

The previous prime is 106164216427. The next prime is 106164216467. The reversal of 106164216431 is 134612461601.

It is not a de Polignac number, because 106164216431 - 2² = 106164216427 is a prime.

It is a super-2 number, since 2×106164216431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106164216391 and 106164216400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106164216401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148085 + ... + 484001.

It is an arithmetic number, because the mean of its divisors is an integer number (4289001024).

Almost surely, 2^106164216431 is an apocalyptic number.

106164216431 is a deficient number, since it is larger than the sum of its proper divisors (31083816337).

106164216431 is a wasteful number, since it uses less digits than its factorization.

106164216431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336111.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 106164216431 in words is "one hundred six billion, one hundred sixty-four million, two hundred sixteen thousand, four hundred thirty-one".