105072161690 has 16 divisors (see below), whose sum is σ = 189883401120. Its totient is φ = 41861418000.

The previous prime is 105072161683. The next prime is 105072161717. The reversal of 105072161690 is 96161270501.

It is a super-2 number, since 2×105072161690² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20928200 + ... + 20933219.

It is an arithmetic number, because the mean of its divisors is an integer number (11867712570).

Almost surely, 2^105072161690 is an apocalyptic number.

105072161690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105072161690 is a deficient number, since it is larger than the sum of its proper divisors (84811239430).

105072161690 is a wasteful number, since it uses less digits than its factorization.

105072161690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41861677.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 105072161690 in words is "one hundred five billion, seventy-two million, one hundred sixty-one thousand, six hundred ninety".