10105033340 has 48 divisors (see below), whose sum is σ = 22422597120. Its totient is φ = 3814678080.

The previous prime is 10105033219. The next prime is 10105033361. The reversal of 10105033340 is 4333050101.

It is a happy number.

10105033340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105033340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49385 + ... + 150495.

It is an arithmetic number, because the mean of its divisors is an integer number (467137440).

Almost surely, 2^10105033340 is an apocalyptic number.

10105033340 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 10105033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211298560).

10105033340 is an abundant number, since it is smaller than the sum of its proper divisors (12317563780).

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

10105033340 is a wasteful number, since it uses less digits than its factorization.

10105033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101402 (or 101400 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10105033340 its reverse (4333050101), we get a palindrome (14438083441).

The spelling of 10105033340 in words is "ten billion, one hundred five million, thirty-three thousand, three hundred forty".