105216021225 has 60 divisors (see below), whose sum is σ = 222738821184. Its totient is φ = 48098746080.

The previous prime is 105216021221. The next prime is 105216021247. The reversal of 105216021225 is 522120612501.

105216021225 is a `hidden beast` number, since 1 + 0 + 5 + 21 + 602 + 12 + 25 = 666.

It is not a de Polignac number, because 105216021225 - 2² = 105216021221 is a prime.

It is a super-2 number, since 2×105216021225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105216021221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3697149 + ... + 3725498.

Almost surely, 2^105216021225 is an apocalyptic number.

105216021225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105216021225 is an abundant number, since it is smaller than the sum of its proper divisors (117522799959).

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

105216021225 is an equidigital number, since it uses as much as digits as its factorization.

105216021225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422676 (or 7422662 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105216021225 its reverse (522120612501), we get a palindrome (627336633726).

The spelling of 105216021225 in words is "one hundred five billion, two hundred sixteen million, twenty-one thousand, two hundred twenty-five".