106177776097 has 2 divisors, whose sum is σ = 106177776098. Its totient is φ = 106177776096.

The previous prime is 106177776073. The next prime is 106177776149. The reversal of 106177776097 is 790677771601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91711459921 + 14466316176 = 302839^2 + 120276^2 .

It is a cyclic number.

It is not a de Polignac number, because 106177776097 - 2³¹ = 104030292449 is a prime.

It is a super-2 number, since 2×106177776097² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106177776017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53088888048 + 53088888049.

It is an arithmetic number, because the mean of its divisors is an integer number (53088888049).

Almost surely, 2^106177776097 is an apocalyptic number.

It is an amenable number.

106177776097 is a deficient number, since it is larger than the sum of its proper divisors (1).

106177776097 is an equidigital number, since it uses as much as digits as its factorization.

106177776097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5445468, while the sum is 58.

The spelling of 106177776097 in words is "one hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, ninety-seven".