105451524740 has 24 divisors (see below), whose sum is σ = 221479825560. Its totient is φ = 42174586368.

The previous prime is 105451524709. The next prime is 105451524743. The reversal of 105451524740 is 47425154501.

105451524740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13861765696 + 91589759044 = 117736^2 + 302638^2 .

It is a super-2 number, since 2×105451524740² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105451524694 and 105451524703.

It is not an unprimeable number, because it can be changed into a prime (105451524743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231557 + ... + 514316.

It is an arithmetic number, because the mean of its divisors is an integer number (9228326065).

Almost surely, 2^105451524740 is an apocalyptic number.

105451524740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105451524740 is an abundant number, since it is smaller than the sum of its proper divisors (116028300820).

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

105451524740 is a wasteful number, since it uses less digits than its factorization.

105451524740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752951 (or 752949 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The spelling of 105451524740 in words is "one hundred five billion, four hundred fifty-one million, five hundred twenty-four thousand, seven hundred forty".