105701936010 has 128 divisors (see below), whose sum is σ = 295001395200. Its totient is φ = 23968638720.

The previous prime is 105701935993. The next prime is 105701936129. The reversal of 105701936010 is 10639107501.

It is a happy number.

It is a super-2 number, since 2×105701936010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388632 + ... + 602028.

It is an arithmetic number, because the mean of its divisors is an integer number (2304698400).

Almost surely, 2^105701936010 is an apocalyptic number.

105701936010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105701936010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147500697600).

105701936010 is an abundant number, since it is smaller than the sum of its proper divisors (189299459190).

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

105701936010 is a wasteful number, since it uses less digits than its factorization.

105701936010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213516.

The product of its (nonzero) digits is 5670, while the sum is 33.

The spelling of 105701936010 in words is "one hundred five billion, seven hundred one million, nine hundred thirty-six thousand, ten".