105565428 has 18 divisors (see below), whose sum is σ = 266846034. Its totient is φ = 35188464.

The previous prime is 105565399. The next prime is 105565511. The reversal of 105565428 is 824565501.

105565428 is a `hidden beast` number, since 105 + 5 + 6 + 542 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82410084 + 23155344 = 9078^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105565428² = 22288119177646368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2932373 = 105565428 / (1 + 0 + 5 + 5 + 6 + 5 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 105565392 and 105565401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1466151 + ... + 1466222.

Almost surely, 2^105565428 is an apocalyptic number.

105565428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105565428 is an abundant number, since it is smaller than the sum of its proper divisors (161280606).

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

105565428 is a wasteful number, since it uses less digits than its factorization.

105565428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932383 (or 2932378 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 105565428 is about 10274.5037836384. The cubic root of 105565428 is about 472.6147130565.

The spelling of 105565428 in words is "one hundred five million, five hundred sixty-five thousand, four hundred twenty-eight".