105573599040 has 448 divisors, whose sum is σ = 430494253056. Its totient is φ = 21305991168.

The previous prime is 105573598997. The next prime is 105573599041. The reversal of 105573599040 is 40995375501.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105573599040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105573599041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1983009 + ... + 2035551.

It is an arithmetic number, because the mean of its divisors is an integer number (960924672).

Almost surely, 2^105573599040 is an apocalyptic number.

105573599040 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 105573599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215247126528).

105573599040 is an abundant number, since it is smaller than the sum of its proper divisors (324920654016).

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

105573599040 is a wasteful number, since it uses less digits than its factorization.

105573599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52606 (or 52596 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The spelling of 105573599040 in words is "one hundred five billion, five hundred seventy-three million, five hundred ninety-nine thousand, forty".