101606111 has 16 divisors (see below), whose sum is σ = 110246400. Its totient is φ = 93353568.

The previous prime is 101606069. The next prime is 101606117. The reversal of 101606111 is 111606101.

It is a cyclic number.

It is not a de Polignac number, because 101606111 - 2¹⁴ = 101589727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101606111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231230 + ... + 231668.

It is an arithmetic number, because the mean of its divisors is an integer number (6890400).

Almost surely, 2^101606111 is an apocalyptic number.

101606111 is a deficient number, since it is larger than the sum of its proper divisors (8640289).

101606111 is a wasteful number, since it uses less digits than its factorization.

101606111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 101606111 is about 10079.9856646723. The cubic root of 101606111 is about 466.6306659870.

The spelling of 101606111 in words is "one hundred one million, six hundred six thousand, one hundred eleven".