106167472025 has 12 divisors (see below), whose sum is σ = 131654909484. Its totient is φ = 84929304000.

The previous prime is 106167472009. The next prime is 106167472079. The reversal of 106167472025 is 520274761601.

It can be written as a sum of positive squares in 6 ways, for example, as 39692194441 + 66475277584 = 199229^2 + 257828^2 .

It is not a de Polignac number, because 106167472025 - 2⁴ = 106167472009 is a prime.

It is a super-2 number, since 2×106167472025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389615 + ... + 603435.

It is an arithmetic number, because the mean of its divisors is an integer number (10971242457).

Almost surely, 2^106167472025 is an apocalyptic number.

It is an amenable number.

106167472025 is a deficient number, since it is larger than the sum of its proper divisors (25487437459).

106167472025 is a wasteful number, since it uses less digits than its factorization.

106167472025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233692 (or 233687 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 106167472025 in words is "one hundred six billion, one hundred sixty-seven million, four hundred seventy-two thousand, twenty-five".