106613105397 has 32 divisors (see below), whose sum is σ = 154686195072. Its totient is φ = 65042049024.

The previous prime is 106613105383. The next prime is 106613105411. The reversal of 106613105397 is 793501316601.

It is an interprime number because it is at equal distance from previous prime (106613105383) and next prime (106613105411).

It is not a de Polignac number, because 106613105397 - 2⁸ = 106613105141 is a prime.

It is a super-2 number, since 2×106613105397² (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 (106613105297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2855353 + ... + 2892449.

It is an arithmetic number, because the mean of its divisors is an integer number (4833943596).

Almost surely, 2^106613105397 is an apocalyptic number.

106613105397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106613105397 is a deficient number, since it is larger than the sum of its proper divisors (48073089675).

106613105397 is a wasteful number, since it uses less digits than its factorization.

106613105397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38677.

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 106613105397 in words is "one hundred six billion, six hundred thirteen million, one hundred five thousand, three hundred ninety-seven".