105772260 has 96 divisors (see below), whose sum is σ = 330688512. Its totient is φ = 25038720.

The previous prime is 105772253. The next prime is 105772267. The reversal of 105772260 is 62277501.

It is an interprime number because it is at equal distance from previous prime (105772253) and next prime (105772267).

It is a super-2 number, since 2×105772260² = 22375541971015200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105772267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26517 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (3444672).

Almost surely, 2^105772260 is an apocalyptic number.

105772260 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 105772260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165344256).

105772260 is an abundant number, since it is smaller than the sum of its proper divisors (224916252).

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

105772260 is a wasteful number, since it uses less digits than its factorization.

105772260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 105772260 is about 10284.5641618884. The cubic root of 105772260 is about 472.9231728638.

The spelling of 105772260 in words is "one hundred five million, seven hundred seventy-two thousand, two hundred sixty".