105109530436 has 27 divisors (see below), whose sum is σ = 187993106749. Its totient is φ = 51421665248.

The previous prime is 105109530419. The next prime is 105109530437. The reversal of 105109530436 is 634035901501.

It is a happy number.

The square root of 105109530436 is 324206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 547840836 + 104561689600 = 23406^2 + 323360^2 .

It is a super-2 number, since 2×105109530436² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105109530395 and 105109530404.

It is not an unprimeable number, because it can be changed into a prime (105109530437) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30473640 + ... + 30477088.

Almost surely, 2^105109530436 is an apocalyptic number.

105109530436 is the 324206-th square number.

It is an amenable number.

105109530436 is a deficient number, since it is larger than the sum of its proper divisors (82883576313).

105109530436 is an frugal number, since it uses more digits than its factorization.

105109530436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 105109530436 in words is "one hundred five billion, one hundred nine million, five hundred thirty thousand, four hundred thirty-six".