105144137290 has 32 divisors (see below), whose sum is σ = 198796052736. Its totient is φ = 39962630400.

The previous prime is 105144137279. The next prime is 105144137309. The reversal of 105144137290 is 92731441501.

It is a happy number.

It is a super-2 number, since 2×105144137290² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1479007 + ... + 1548466.

It is an arithmetic number, because the mean of its divisors is an integer number (6212376648).

Almost surely, 2^105144137290 is an apocalyptic number.

105144137290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105144137290 is a deficient number, since it is larger than the sum of its proper divisors (93651915446).

105144137290 is a wasteful number, since it uses less digits than its factorization.

105144137290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027654.

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 105144137290 its reverse (92731441501), we get a palindrome (197875578791).

The spelling of 105144137290 in words is "one hundred five billion, one hundred forty-four million, one hundred thirty-seven thousand, two hundred ninety".