105436410200 has 96 divisors (see below), whose sum is σ = 271958040000. Its totient is φ = 37690627200.

The previous prime is 105436410199. The next prime is 105436410223. The reversal of 105436410200 is 2014634501.

It is a super-2 number, since 2×105436410200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105436410200.

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, 276350 + ... + 535949.

It is an arithmetic number, because the mean of its divisors is an integer number (2832896250).

Almost surely, 2^105436410200 is an apocalyptic number.

105436410200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105436410200 is an abundant number, since it is smaller than the sum of its proper divisors (166521629800).

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

105436410200 is a wasteful number, since it uses less digits than its factorization.

105436410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812385 (or 812376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 105436410200 in words is "one hundred five billion, four hundred thirty-six million, four hundred ten thousand, two hundred".