105771424 has 72 divisors (see below), whose sum is σ = 233271360. Its totient is φ = 47160960.

The previous prime is 105771409. The next prime is 105771437. The reversal of 105771424 is 424177501.

It is a super-2 number, since 2×105771424² = 22375188269975552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228217 + ... + 228679.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 2^105771424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635680).

105771424 is an abundant number, since it is smaller than the sum of its proper divisors (127499936).

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

105771424 is a wasteful number, since it uses less digits than its factorization.

105771424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 105771424 is about 10284.5235183746. The cubic root of 105771424 is about 472.9219269013.

The spelling of 105771424 in words is "one hundred five million, seven hundred seventy-one thousand, four hundred twenty-four".