106077570101 has 2 divisors, whose sum is σ = 106077570102. Its totient is φ = 106077570100.

The previous prime is 106077570043. The next prime is 106077570197. The reversal of 106077570101 is 101075770601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64196356900 + 41881213201 = 253370^2 + 204649^2 .

It is a cyclic number.

It is not a de Polignac number, because 106077570101 - 2³⁴ = 88897700917 is a prime.

It is a super-2 number, since 2×106077570101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106077570901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53038785050 + 53038785051.

It is an arithmetic number, because the mean of its divisors is an integer number (53038785051).

Almost surely, 2^106077570101 is an apocalyptic number.

It is an amenable number.

106077570101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106077570101 is an equidigital number, since it uses as much as digits as its factorization.

106077570101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10290, while the sum is 35.

The spelling of 106077570101 in words is "one hundred six billion, seventy-seven million, five hundred seventy thousand, one hundred one".