105410320540 has 96 divisors (see below), whose sum is σ = 255676796928. Its totient is φ = 35756640000.

The previous prime is 105410320523. The next prime is 105410320559. The reversal of 105410320540 is 45023014501.

It is a happy number.

It is a super-2 number, since 2×105410320540² (a number of 23 digits) contains 22 as substring.

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, 37766545 + ... + 37769335.

It is an arithmetic number, because the mean of its divisors is an integer number (2663299968).

Almost surely, 2^105410320540 is an apocalyptic number.

105410320540 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 105410320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127838398464).

105410320540 is an abundant number, since it is smaller than the sum of its proper divisors (150266476388).

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

105410320540 is a wasteful number, since it uses less digits than its factorization.

105410320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 105410320540 in words is "one hundred five billion, four hundred ten million, three hundred twenty thousand, five hundred forty".