105268927290 has 64 divisors (see below), whose sum is σ = 261681356160. Its totient is φ = 27070122240.

The previous prime is 105268927279. The next prime is 105268927339. The reversal of 105268927290 is 92729862501.

It is a super-2 number, since 2×105268927290² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630972 + ... + 780168.

It is an arithmetic number, because the mean of its divisors is an integer number (4088771190).

Almost surely, 2^105268927290 is an apocalyptic number.

105268927290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105268927290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130840678080).

105268927290 is an abundant number, since it is smaller than the sum of its proper divisors (156412428870).

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

105268927290 is a wasteful number, since it uses less digits than its factorization.

105268927290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150047.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 105268927290 in words is "one hundred five billion, two hundred sixty-eight million, nine hundred twenty-seven thousand, two hundred ninety".