106031364461 has 16 divisors (see below), whose sum is σ = 118866545088. Its totient is φ = 93731904000.

The previous prime is 106031364437. The next prime is 106031364487. The reversal of 106031364461 is 164463130601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106031364461 is a prime.

It is a super-2 number, since 2×106031364461² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031364401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625661 + ... + 776861.

It is an arithmetic number, because the mean of its divisors is an integer number (7429159068).

Almost surely, 2^106031364461 is an apocalyptic number.

106031364461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106031364461 is a deficient number, since it is larger than the sum of its proper divisors (12835180627).

106031364461 is a wasteful number, since it uses less digits than its factorization.

106031364461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152972.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 106031364461 in words is "one hundred six billion, thirty-one million, three hundred sixty-four thousand, four hundred sixty-one".