106791311 has 16 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 90703200.

The previous prime is 106791301. The next prime is 106791319. The reversal of 106791311 is 113197601.

It is a cyclic number.

It is not a de Polignac number, because 106791311 - 2¹⁸ = 106529167 is a prime.

It is a super-2 number, since 2×106791311² = 22808768210197442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106791319) 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, 4490 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^106791311 is an apocalyptic number.

106791311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106791311 is the 4622-nd centered decagonal number.

106791311 is a deficient number, since it is larger than the sum of its proper divisors (17624689).

106791311 is a wasteful number, since it uses less digits than its factorization.

106791311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 106791311 is about 10333.9881459193. The cubic root of 106791311 is about 474.4370964392.

The spelling of 106791311 in words is "one hundred six million, seven hundred ninety-one thousand, three hundred eleven".