105477228 has 60 divisors (see below), whose sum is σ = 277050312. Its totient is φ = 34992000.

The previous prime is 105477217. The next prime is 105477233. The reversal of 105477228 is 822774501.

It is a super-2 number, since 2×105477228² = 22250891253127968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105477192 and 105477201.

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 19 ways as a sum of consecutive naturals, for example, 80676 + ... + 81972.

Almost surely, 2^105477228 is an apocalyptic number.

105477228 is a gapful number since it is divisible by the number (18) 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 105477228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138525156).

105477228 is an abundant number, since it is smaller than the sum of its proper divisors (171573084).

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

105477228 is a wasteful number, since it uses less digits than its factorization.

105477228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

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

The square root of 105477228 is about 10270.2107086466. The cubic root of 105477228 is about 472.4830530581.

The spelling of 105477228 in words is "one hundred five million, four hundred seventy-seven thousand, two hundred twenty-eight".