106757361311 has 16 divisors (see below), whose sum is σ = 114617736864. Its totient is φ = 99073373184.

The previous prime is 106757361299. The next prime is 106757361317. The reversal of 106757361311 is 113163757601.

It is a cyclic number.

It is not a de Polignac number, because 106757361311 - 2⁶ = 106757361247 is a prime.

It is a super-2 number, since 2×106757361311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106757361317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5404625 + ... + 5424341.

It is an arithmetic number, because the mean of its divisors is an integer number (7163608554).

Almost surely, 2^106757361311 is an apocalyptic number.

106757361311 is a deficient number, since it is larger than the sum of its proper divisors (7860375553).

106757361311 is a wasteful number, since it uses less digits than its factorization.

106757361311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170.

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 106757361311 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-one thousand, three hundred eleven".