105553045200 has 120 divisors (see below), whose sum is σ = 338210496000. Its totient is φ = 28140078080.

The previous prime is 105553045181. The next prime is 105553045217. The reversal of 105553045200 is 2540355501.

It is a happy number.

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

It is a super-2 number, since 2×105553045200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5749636 + ... + 5767964.

It is an arithmetic number, because the mean of its divisors is an integer number (2818420800).

Almost surely, 2^105553045200 is an apocalyptic number.

105553045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105553045200 is an abundant number, since it is smaller than the sum of its proper divisors (232657450800).

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

105553045200 is a wasteful number, since it uses less digits than its factorization.

105553045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23149 (or 23138 counting only the distinct ones).

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

The spelling of 105553045200 in words is "one hundred five billion, five hundred fifty-three million, forty-five thousand, two hundred".