105049090 has 16 divisors (see below), whose sum is σ = 190962360. Its totient is φ = 41603200.

The previous prime is 105049079. The next prime is 105049097. The reversal of 105049090 is 90940501.

It can be written as a sum of positive squares in 4 ways, for example, as 85433049 + 19616041 = 9243^2 + 4429^2 .

It is a super-2 number, since 2×105049090² = 22070622619656200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105049097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50995 + ... + 53014.

Almost surely, 2^105049090 is an apocalyptic number.

105049090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105049090 is a deficient number, since it is larger than the sum of its proper divisors (85913270).

105049090 is a wasteful number, since it uses less digits than its factorization.

105049090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104117.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105049090 is about 10249.3458327837. The cubic root of 105049090 is about 471.8429077191.

Adding to 105049090 its reverse (90940501), we get a palindrome (195989591).

The spelling of 105049090 in words is "one hundred five million, forty-nine thousand, ninety".