105771156890 has 64 divisors (see below), whose sum is σ = 218281029120. Its totient is φ = 36148819200.

The previous prime is 105771156857. The next prime is 105771156901. The reversal of 105771156890 is 98651177501.

It is a super-2 number, since 2×105771156890² (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, 45807056 + ... + 45809364.

It is an arithmetic number, because the mean of its divisors is an integer number (3410641080).

Almost surely, 2^105771156890 is an apocalyptic number.

105771156890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105771156890 is an abundant number, since it is smaller than the sum of its proper divisors (112509872230).

105771156890 is a wasteful number, since it uses less digits than its factorization.

105771156890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127.

The product of its (nonzero) digits is 529200, while the sum is 50.

The spelling of 105771156890 in words is "one hundred five billion, seven hundred seventy-one million, one hundred fifty-six thousand, eight hundred ninety".