105236415300 has 288 divisors, whose sum is σ = 326679091200. Its totient is φ = 26079459840.

The previous prime is 105236415287. The next prime is 105236415311. The reversal of 105236415300 is 3514632501.

105236415300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105236415300² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66478309 + ... + 66479891.

It is an arithmetic number, because the mean of its divisors is an integer number (1134302400).

Almost surely, 2^105236415300 is an apocalyptic number.

105236415300 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 105236415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163339545600).

105236415300 is an abundant number, since it is smaller than the sum of its proper divisors (221442675900).

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

105236415300 is a wasteful number, since it uses less digits than its factorization.

105236415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 105236415300 in words is "one hundred five billion, two hundred thirty-six million, four hundred fifteen thousand, three hundred".