105445225440 has 192 divisors, whose sum is σ = 390767872320. Its totient is φ = 26464665600.

The previous prime is 105445225427. The next prime is 105445225441. The reversal of 105445225440 is 44522544501.

105445225440 is a `hidden beast` number, since 1 + 0 + 5 + 44 + 522 + 54 + 40 = 666.

It is a super-2 number, since 2×105445225440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105445225395 and 105445225404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105445225441) 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, 644461 + ... + 791340.

It is an arithmetic number, because the mean of its divisors is an integer number (2035249335).

Almost surely, 2^105445225440 is an apocalyptic number.

105445225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105445225440 is an abundant number, since it is smaller than the sum of its proper divisors (285322646880).

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

105445225440 is a wasteful number, since it uses less digits than its factorization.

105445225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435842 (or 1435828 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 105445225440 its reverse (44522544501), we get a palindrome (149967769941).

The spelling of 105445225440 in words is "one hundred five billion, four hundred forty-five million, two hundred twenty-five thousand, four hundred forty".