105225553200 has 120 divisors (see below), whose sum is σ = 337154902848. Its totient is φ = 28053290240.

The previous prime is 105225553193. The next prime is 105225553207. The reversal of 105225553200 is 2355522501.

It is an interprime number because it is at equal distance from previous prime (105225553193) and next prime (105225553207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105225553200² (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 (105225553207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6600439 + ... + 6616361.

Almost surely, 2^105225553200 is an apocalyptic number.

105225553200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105225553200 is an abundant number, since it is smaller than the sum of its proper divisors (231929349648).

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

105225553200 is a wasteful number, since it uses less digits than its factorization.

105225553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21451 (or 21440 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 105225553200 in words is "one hundred five billion, two hundred twenty-five million, five hundred fifty-three thousand, two hundred".