105413004544 has 72 divisors (see below), whose sum is σ = 212263349760. Its totient is φ = 52244275200.

The previous prime is 105413004467. The next prime is 105413004547. The reversal of 105413004544 is 445400314501.

It is a super-2 number, since 2×105413004544² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413004547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49934049 + ... + 49936159.

It is an arithmetic number, because the mean of its divisors is an integer number (2948102080).

Almost surely, 2^105413004544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105413004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106131674880).

105413004544 is an abundant number, since it is smaller than the sum of its proper divisors (106850345216).

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

105413004544 is a wasteful number, since it uses less digits than its factorization.

105413004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 105413004544 in words is "one hundred five billion, four hundred thirteen million, four thousand, five hundred forty-four".