106009181818794 has 24 divisors (see below), whose sum is σ = 229687662661860. Its totient is φ = 35336224392768.

The previous prime is 106009181818783. The next prime is 106009181818807. The reversal of 106009181818794 is 497818181900601.

106009181818794 is a `hidden beast` number, since 1 + 0 + 600 + 9 + 1 + 8 + 1 + 8 + 18 + 7 + 9 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105838725962025 + 170455856769 = 10287795^2 + 412863^2 .

It is a super-2 number, since 2×106009181818794² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10244329 + ... + 17803500.

Almost surely, 2^{106009181818794} is an apocalyptic number.

106009181818794 is an abundant number, since it is smaller than the sum of its proper divisors (123678480843066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106009181818794 is a wasteful number, since it uses less digits than its factorization.

106009181818794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28257814 (or 28257811 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 63.

The spelling of 106009181818794 in words is "one hundred six trillion, nine billion, one hundred eighty-one million, eight hundred eighteen thousand, seven hundred ninety-four".