105482772 has 36 divisors (see below), whose sum is σ = 268684416. Its totient is φ = 34890960.

The previous prime is 105482753. The next prime is 105482779. The reversal of 105482772 is 277284501.

105482772 is a `hidden beast` number, since 105 + 482 + 7 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105482772² = 22253230377607968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105482779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6468 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (7463456).

Almost surely, 2^105482772 is an apocalyptic number.

105482772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105482772 is an abundant number, since it is smaller than the sum of its proper divisors (163201644).

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

105482772 is a wasteful number, since it uses less digits than its factorization.

105482772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22508 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 105482772 is about 10270.4806119285. The cubic root of 105482772 is about 472.4913309907.

The spelling of 105482772 in words is "one hundred five million, four hundred eighty-two thousand, seven hundred seventy-two".