105140531122320 has 80 divisors (see below), whose sum is σ = 326095498730880. Its totient is φ = 28023724234752.

The previous prime is 105140531122283. The next prime is 105140531122351. The reversal of 105140531122320 is 23221135041501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105140531122320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106937209 + ... + 107915928.

It is an arithmetic number, because the mean of its divisors is an integer number (4076193734136).

Almost surely, 2^{105140531122320} is an apocalyptic number.

105140531122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105140531122320 is an abundant number, since it is smaller than the sum of its proper divisors (220954967608560).

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

105140531122320 is a wasteful number, since it uses less digits than its factorization.

105140531122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214855192 (or 214855186 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 105140531122320 its reverse (23221135041501), we get a palindrome (128361666163821).

The spelling of 105140531122320 in words is "one hundred five trillion, one hundred forty billion, five hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".