106161099993 has 48 divisors (see below), whose sum is σ = 167005382544. Its totient is φ = 64594575360.

The previous prime is 106161099983. The next prime is 106161100007. The reversal of 106161099993 is 399990161601.

106161099993 is a `hidden beast` number, since 1 + 0 + 616 + 10 + 9 + 9 + 9 + 9 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93349803024 + 12811296969 = 305532^2 + 113187^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106161099993 is a prime.

It is a super-2 number, since 2×106161099993² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106161099953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556505 + ... + 5575577.

It is an arithmetic number, because the mean of its divisors is an integer number (3479278803).

Almost surely, 2^106161099993 is an apocalyptic number.

106161099993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106161099993 is a deficient number, since it is larger than the sum of its proper divisors (60844282551).

106161099993 is a wasteful number, since it uses less digits than its factorization.

106161099993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19626 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 106161099993 in words is "one hundred six billion, one hundred sixty-one million, ninety-nine thousand, nine hundred ninety-three".