105205414013300 has 72 divisors (see below), whose sum is σ = 231744436948416. Its totient is φ = 41446686504960.

The previous prime is 105205414013269. The next prime is 105205414013317. The reversal of 105205414013300 is 3310414502501.

It is a super-2 number, since 2×105205414013300² (a number of 29 digits) contains 22 as substring.

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, 36277844 + ... + 39070356.

Almost surely, 2^{105205414013300} is an apocalyptic number.

105205414013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105205414013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872218474208).

105205414013300 is an abundant number, since it is smaller than the sum of its proper divisors (126539022935116).

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

105205414013300 is a wasteful number, since it uses less digits than its factorization.

105205414013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798217 (or 2798210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105205414013300 its reverse (3310414502501), we get a palindrome (108515828515801).

The spelling of 105205414013300 in words is "one hundred five trillion, two hundred five billion, four hundred fourteen million, thirteen thousand, three hundred".