106849806 has 64 divisors (see below), whose sum is σ = 258577920. Its totient is φ = 28753920.

The previous prime is 106849783. The next prime is 106849807. The reversal of 106849806 is 608948601.

It is a super-2 number, since 2×106849806² = 22833762084475272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106849807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204826 + ... + 205346.

It is an arithmetic number, because the mean of its divisors is an integer number (4040280).

Almost surely, 2^106849806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106849806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129288960).

106849806 is an abundant number, since it is smaller than the sum of its proper divisors (151728114).

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

106849806 is a wasteful number, since it uses less digits than its factorization.

106849806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106849806 is about 10336.8179823387. The cubic root of 106849806 is about 474.5237050223.

The spelling of 106849806 in words is "one hundred six million, eight hundred forty-nine thousand, eight hundred six".