106757085961 has 2 divisors, whose sum is σ = 106757085962. Its totient is φ = 106757085960.

The previous prime is 106757085887. The next prime is 106757086049. The reversal of 106757085961 is 169580757601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93893216400 + 12863869561 = 306420^2 + 113419^2 .

It is a cyclic number.

It is not a de Polignac number, because 106757085961 - 2⁷ = 106757085833 is a prime.

It is a super-2 number, since 2×106757085961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106757080961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53378542980 + 53378542981.

It is an arithmetic number, because the mean of its divisors is an integer number (53378542981).

Almost surely, 2^106757085961 is an apocalyptic number.

It is an amenable number.

106757085961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106757085961 is an equidigital number, since it uses as much as digits as its factorization.

106757085961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 106757085961 in words is "one hundred six billion, seven hundred fifty-seven million, eighty-five thousand, nine hundred sixty-one".