106157568001 has 2 divisors, whose sum is σ = 106157568002. Its totient is φ = 106157568000.

The previous prime is 106157567977. The next prime is 106157568017. The reversal of 106157568001 is 100865751601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83404862401 + 22752705600 = 288799^2 + 150840^2 .

It is a cyclic number.

It is not a de Polignac number, because 106157568001 - 2⁹ = 106157567489 is a prime.

It is a super-2 number, since 2×106157568001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106157565001) 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 as a sum of consecutive naturals, namely, 53078784000 + 53078784001.

It is an arithmetic number, because the mean of its divisors is an integer number (53078784001).

Almost surely, 2^106157568001 is an apocalyptic number.

It is an amenable number.

106157568001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157568001 is an equidigital number, since it uses as much as digits as its factorization.

106157568001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 106157568001 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-eight thousand, one".