105403331000 has 128 divisors (see below), whose sum is σ = 269240924160. Its totient is φ = 38303568000.

The previous prime is 105403330979. The next prime is 105403331023. The reversal of 105403331000 is 133304501.

It is a happy number.

It is a super-2 number, since 2×105403331000² (a number of 23 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30435269 + ... + 30438731.

It is an arithmetic number, because the mean of its divisors is an integer number (2103444720).

Almost surely, 2^105403331000 is an apocalyptic number.

105403331000 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 105403331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134620462080).

105403331000 is an abundant number, since it is smaller than the sum of its proper divisors (163837593160).

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

105403331000 is a wasteful number, since it uses less digits than its factorization.

105403331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6248 counting only the distinct ones).

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

Adding to 105403331000 its reverse (133304501), we get a palindrome (105536635501).

The spelling of 105403331000 in words is "one hundred five billion, four hundred three million, three hundred thirty-one thousand".