105561040200 has 192 divisors, whose sum is σ = 407986744320. Its totient is φ = 21934752000.

The previous prime is 105561040187. The next prime is 105561040241. The reversal of 105561040200 is 2040165501.

It is a super-2 number, since 2×105561040200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096236 + ... + 1188635.

It is an arithmetic number, because the mean of its divisors is an integer number (2124930960).

Almost surely, 2^105561040200 is an apocalyptic number.

105561040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105561040200 is an abundant number, since it is smaller than the sum of its proper divisors (302425704120).

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

105561040200 is a wasteful number, since it uses less digits than its factorization.

105561040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284908 (or 2284899 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 105561040200 in words is "one hundred five billion, five hundred sixty-one million, forty thousand, two hundred".