105225542220 has 48 divisors (see below), whose sum is σ = 294667295328. Its totient is φ = 28056737280.

The previous prime is 105225542173. The next prime is 105225542221. The reversal of 105225542220 is 22245522501.

It is a super-2 number, since 2×105225542220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105225542221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412672 + ... + 617048.

It is an arithmetic number, because the mean of its divisors is an integer number (6138901986).

Almost surely, 2^105225542220 is an apocalyptic number.

105225542220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105225542220 is an abundant number, since it is smaller than the sum of its proper divisors (189441753108).

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

105225542220 is a wasteful number, since it uses less digits than its factorization.

105225542220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212970 (or 212968 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 105225542220 in words is "one hundred five billion, two hundred twenty-five million, five hundred forty-two thousand, two hundred twenty".