105576228 has 36 divisors (see below), whose sum is σ = 268090368. Its totient is φ = 35031600.

The previous prime is 105576221. The next prime is 105576283. The reversal of 105576228 is 822675501.

It is a happy number.

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

It is a super-2 number, since 2×105576228² = 22292679837415968, 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 = 105576192 and 105576201.

It is not an unprimeable number, because it can be changed into a prime (105576221) 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, 1453 + ... + 14603.

Almost surely, 2^105576228 is an apocalyptic number.

105576228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105576228 is an abundant number, since it is smaller than the sum of its proper divisors (162514140).

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

105576228 is a wasteful number, since it uses less digits than its factorization.

105576228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13384 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105576228 is about 10275.0293430238. The cubic root of 105576228 is about 472.6308296487.

The spelling of 105576228 in words is "one hundred five million, five hundred seventy-six thousand, two hundred twenty-eight".