105740772224532 has 48 divisors (see below), whose sum is σ = 250640986780800. Its totient is φ = 34692275894400.

The previous prime is 105740772224531. The next prime is 105740772224599. The reversal of 105740772224532 is 235422277047501.

It is a super-2 number, since 2×105740772224532² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105740772224531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267489807 + ... + 267884822.

It is an arithmetic number, because the mean of its divisors is an integer number (5221687224600).

Almost surely, 2^{105740772224532} is an apocalyptic number.

105740772224532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105740772224532 is an abundant number, since it is smaller than the sum of its proper divisors (144900214556268).

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

105740772224532 is a wasteful number, since it uses less digits than its factorization.

105740772224532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535374896 (or 535374894 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 51.

The spelling of 105740772224532 in words is "one hundred five trillion, seven hundred forty billion, seven hundred seventy-two million, two hundred twenty-four thousand, five hundred thirty-two".