106157567977 has 2 divisors, whose sum is σ = 106157567978. Its totient is φ = 106157567976.

The previous prime is 106157567947. The next prime is 106157568001. The reversal of 106157567977 is 779765751601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105762194521 + 395373456 = 325211^2 + 19884^2 .

It is an emirp because it is prime and its reverse (779765751601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106157567977 - 2¹⁹ = 106157043689 is a prime.

It is a super-2 number, since 2×106157567977² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106157567947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078783988 + 53078783989.

It is an arithmetic number, because the mean of its divisors is an integer number (53078783989).

Almost surely, 2^106157567977 is an apocalyptic number.

It is an amenable number.

106157567977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157567977 is an equidigital number, since it uses as much as digits as its factorization.

106157567977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19448100, while the sum is 61.

The spelling of 106157567977 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-seven thousand, nine hundred seventy-seven".