106757361279 has 12 divisors (see below), whose sum is σ = 154229547576. Its totient is φ = 71160280272.

The previous prime is 106757361247. The next prime is 106757361281. The reversal of 106757361279 is 972163757601.

106757361279 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 7 + 361 + 279 = 666.

It is not a de Polignac number, because 106757361279 - 2⁵ = 106757361247 is a prime.

It is a super-2 number, since 2×106757361279² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106757361299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881092 + ... + 994905.

It is an arithmetic number, because the mean of its divisors is an integer number (12852462298).

Almost surely, 2^106757361279 is an apocalyptic number.

106757361279 is a deficient number, since it is larger than the sum of its proper divisors (47472186297).

106757361279 is a wasteful number, since it uses less digits than its factorization.

106757361279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882326 (or 1882323 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 106757361279 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-one thousand, two hundred seventy-nine".