105490336 has 60 divisors (see below), whose sum is σ = 242460162. Its totient is φ = 45177216.

The previous prime is 105490331. The next prime is 105490349. The reversal of 105490336 is 633094501.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 47059600 = 7644^2 + 6860^2 .

It is a super-2 number, since 2×105490336² = 22256421978785792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105490298 and 105490307.

It is not an unprimeable number, because it can be changed into a prime (105490331) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76146 + ... + 77518.

Almost surely, 2^105490336 is an apocalyptic number.

105490336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121230081).

105490336 is an abundant number, since it is smaller than the sum of its proper divisors (136969826).

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

105490336 is an frugal number, since it uses more digits than its factorization.

105490336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 105490336 is about 10270.8488451539. The cubic root of 105490336 is about 472.5026245853.

The spelling of 105490336 in words is "one hundred five million, four hundred ninety thousand, three hundred thirty-six".