105338226090 has 64 divisors (see below), whose sum is σ = 255095568000. Its totient is φ = 27837513984.

The previous prime is 105338225963. The next prime is 105338226113. The reversal of 105338226090 is 90622833501.

It is a super-2 number, since 2×105338226090² (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 31 ways as a sum of consecutive naturals, for example, 1539936 + ... + 1606884.

It is an arithmetic number, because the mean of its divisors is an integer number (3985868250).

Almost surely, 2^105338226090 is an apocalyptic number.

105338226090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105338226090 is an abundant number, since it is smaller than the sum of its proper divisors (149757341910).

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

105338226090 is a wasteful number, since it uses less digits than its factorization.

105338226090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67431.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 105338226090 in words is "one hundred five billion, three hundred thirty-eight million, two hundred twenty-six thousand, ninety".