105026550084 has 27 divisors (see below), whose sum is σ = 265488694653. Its totient is φ = 35008201872.

The previous prime is 105026550053. The next prime is 105026550127. The reversal of 105026550084 is 480055620501.

The square root of 105026550084 is 324078.

It is a perfect power (a square), and thus also a powerful number.

105026550084 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 26 + 550 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9129802500 + 95896747584 = 95550^2 + 309672^2 .

It is a super-2 number, since 2×105026550084² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1917462 + ... + 1971474.

Almost surely, 2^105026550084 is an apocalyptic number.

105026550084 is the 324078-th square number.

It is an amenable number.

105026550084 is an abundant number, since it is smaller than the sum of its proper divisors (160462144569).

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

105026550084 is an frugal number, since it uses more digits than its factorization.

105026550084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108036 (or 54018 counting only the distinct ones).

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

Multiplying 105026550084 by its sum of digits (36), we get a square (3780955803024 = 1944468²).

105026550084 divided by its sum of digits (36) gives a square (2917404169 = 54013²).

The spelling of 105026550084 in words is "one hundred five billion, twenty-six million, five hundred fifty thousand, eighty-four".