105545152024240 has 160 divisors (see below), whose sum is σ = 251302346602560. Its totient is φ = 41211942912000.

The previous prime is 105545152024219. The next prime is 105545152024241. The reversal of 105545152024240 is 42420251545501.

It is a super-2 number, since 2×105545152024240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 105545152024193 and 105545152024202.

It is not an unprimeable number, because it can be changed into a prime (105545152024241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2808601771 + ... + 2808639349.

It is an arithmetic number, because the mean of its divisors is an integer number (1570639666266).

Almost surely, 2^{105545152024240} is an apocalyptic number.

105545152024240 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 105545152024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125651173301280).

105545152024240 is an abundant number, since it is smaller than the sum of its proper divisors (145757194578320).

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

105545152024240 is a wasteful number, since it uses less digits than its factorization.

105545152024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41991 (or 41985 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 105545152024240 in words is "one hundred five trillion, five hundred forty-five billion, one hundred fifty-two million, twenty-four thousand, two hundred forty".