106111837 has 6 divisors (see below), whose sum is σ = 114314298. Its totient is φ = 97915104.

The previous prime is 106111829. The next prime is 106111861. The reversal of 106111837 is 738111601.

It can be written as a sum of positive squares in 3 ways, for example, as 14220441 + 91891396 = 3771^2 + 9586^2 .

It is not a de Polignac number, because 106111837 - 2³ = 106111829 is a prime.

It is a super-2 number, since 2×106111837² = 22519443903029138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111867) 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, 35713 + ... + 38569.

It is an arithmetic number, because the mean of its divisors is an integer number (19052383).

Almost surely, 2^106111837 is an apocalyptic number.

It is an amenable number.

106111837 is a deficient number, since it is larger than the sum of its proper divisors (8202461).

106111837 is an frugal number, since it uses more digits than its factorization.

106111837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 106111837 is about 10301.0599940006. The cubic root of 106111837 is about 473.4287316257.

The spelling of 106111837 in words is "one hundred six million, one hundred eleven thousand, eight hundred thirty-seven".