105028588305 has 64 divisors (see below), whose sum is σ = 193303249920. Its totient is φ = 54072188928.

The previous prime is 105028588283. The next prime is 105028588307. The reversal of 105028588305 is 503885820501.

105028588305 is a `hidden beast` number, since 10 + 5 + 0 + 28 + 588 + 30 + 5 = 666.

It is not a de Polignac number, because 105028588305 - 2⁷ = 105028588177 is a prime.

It is a super-2 number, since 2×105028588305² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105028588307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349809 + ... + 576561.

It is an arithmetic number, because the mean of its divisors is an integer number (3020363280).

Almost surely, 2^105028588305 is an apocalyptic number.

105028588305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105028588305 is a deficient number, since it is larger than the sum of its proper divisors (88274661615).

105028588305 is a wasteful number, since it uses less digits than its factorization.

105028588305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226887 (or 226881 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 105028588305 in words is "one hundred five billion, twenty-eight million, five hundred eighty-eight thousand, three hundred five".