105641032110 has 64 divisors (see below), whose sum is σ = 260993420352. Its totient is φ = 27346139136.

The previous prime is 105641032109. The next prime is 105641032111. The reversal of 105641032110 is 11230146501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105641032109) and next prime (105641032111).

It is a super-2 number, since 2×105641032110² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105641032111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370732 + ... + 590528.

It is an arithmetic number, because the mean of its divisors is an integer number (4078022193).

Almost surely, 2^105641032110 is an apocalyptic number.

105641032110 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 105641032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130496710176).

105641032110 is an abundant number, since it is smaller than the sum of its proper divisors (155352388242).

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

105641032110 is a wasteful number, since it uses less digits than its factorization.

105641032110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220277.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105641032110 its reverse (11230146501), we get a palindrome (116871178611).

The spelling of 105641032110 in words is "one hundred five billion, six hundred forty-one million, thirty-two thousand, one hundred ten".