10506100167 has 32 divisors (see below), whose sum is σ = 16232437760. Its totient is φ = 6708199680.

The previous prime is 10506100159. The next prime is 10506100169. The reversal of 10506100167 is 76100160501.

It is not a de Polignac number, because 10506100167 - 2³ = 10506100159 is a prime.

It is a super-2 number, since 2×10506100167² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506100167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506100169) 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, 16488 + ... + 145890.

It is an arithmetic number, because the mean of its divisors is an integer number (507263680).

Almost surely, 2^10506100167 is an apocalyptic number.

10506100167 is a deficient number, since it is larger than the sum of its proper divisors (5726337593).

10506100167 is a wasteful number, since it uses less digits than its factorization.

10506100167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129540 (or 129534 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 10506100167 its reverse (76100160501), we get a palindrome (86606260668).

The spelling of 10506100167 in words is "ten billion, five hundred six million, one hundred thousand, one hundred sixty-seven".