49205106 has 36 divisors (see below), whose sum is σ = 113164506. Its totient is φ = 15398400.

The previous prime is 49205087. The next prime is 49205113. The reversal of 49205106 is 60150294.

It can be written as a sum of positive squares in 3 ways, for example, as 40259025 + 8946081 = 6345^2 + 2991^2 .

It is a super-2 number, since 2×49205106² = 4842284912942472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49205106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122506 + ... + 122906.

Almost surely, 2^49205106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49205106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56582253).

49205106 is an abundant number, since it is smaller than the sum of its proper divisors (63959400).

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

49205106 is a wasteful number, since it uses less digits than its factorization.

49205106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 49205106 is about 7014.6351294989. The cubic root of 49205106 is about 366.4404354683.

The spelling of 49205106 in words is "forty-nine million, two hundred five thousand, one hundred six".