105000600824 has 64 divisors (see below), whose sum is σ = 232249248000. Its totient is φ = 43567430400.

The previous prime is 105000600787. The next prime is 105000600853. The reversal of 105000600824 is 428006000501.

It is a super-2 number, since 2×105000600824² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000600793 and 105000600802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126227 + ... + 475325.

It is an arithmetic number, because the mean of its divisors is an integer number (3628894500).

Almost surely, 2^105000600824 is an apocalyptic number.

105000600824 is a gapful number since it is divisible by the number (14) 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 105000600824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116124624000).

105000600824 is an abundant number, since it is smaller than the sum of its proper divisors (127248647176).

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

105000600824 is a wasteful number, since it uses less digits than its factorization.

105000600824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349284 (or 349280 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 105000600824 in words is "one hundred five billion, six hundred thousand, eight hundred twenty-four".