105766420 has 48 divisors (see below), whose sum is σ = 239275008. Its totient is φ = 39156480.

The previous prime is 105766417. The next prime is 105766421. The reversal of 105766420 is 24667501.

It is a happy number.

It is a super-2 number, since 2×105766420² = 22373071199232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10552 + ... + 17968.

It is an arithmetic number, because the mean of its divisors is an integer number (4984896).

Almost surely, 2^105766420 is an apocalyptic number.

105766420 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 105766420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119637504).

105766420 is an abundant number, since it is smaller than the sum of its proper divisors (133508588).

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

105766420 is a wasteful number, since it uses less digits than its factorization.

105766420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105766420 is about 10284.2802373331. The cubic root of 105766420 is about 472.9144688735.

The spelling of 105766420 in words is "one hundred five million, seven hundred sixty-six thousand, four hundred twenty".