105771120 has 320 divisors, whose sum is σ = 419973120. Its totient is φ = 21417984.

The previous prime is 105771109. The next prime is 105771131. The reversal of 105771120 is 21177501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105771109) and next prime (105771131).

It is a super-2 number, since 2×105771120² = 22375059652108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 633277 + ... + 633443.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^105771120 is an apocalyptic number.

105771120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

105771120 is an abundant number, since it is smaller than the sum of its proper divisors (314202000).

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

105771120 is a wasteful number, since it uses less digits than its factorization.

105771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 105771120 is about 10284.5087388752. The cubic root of 105771120 is about 472.9214738224.

The spelling of 105771120 in words is "one hundred five million, seven hundred seventy-one thousand, one hundred twenty".