10164109083111 has 6 divisors (see below), whose sum is σ = 14681490897840. Its totient is φ = 6776072722068.

The previous prime is 10164109083091. The next prime is 10164109083119. The reversal of 10164109083111 is 11138090146101.

10164109083111 is a `hidden beast` number, since 1 + 0 + 1 + 641 + 0 + 9 + 0 + 8 + 3 + 1 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10164109083111 is a prime.

It is a super-2 number, since 2×10164109083111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164109083119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 564672726831 + ... + 564672726848.

It is an arithmetic number, because the mean of its divisors is an integer number (2446915149640).

Almost surely, 2^{10164109083111} is an apocalyptic number.

10164109083111 is a deficient number, since it is larger than the sum of its proper divisors (4517381814729).

10164109083111 is a wasteful number, since it uses less digits than its factorization.

10164109083111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129345453685 (or 1129345453682 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10164109083111 in words is "ten trillion, one hundred sixty-four billion, one hundred nine million, eighty-three thousand, one hundred eleven".