105431454352324 has 27 divisors (see below), whose sum is σ = 192876648480397. Its totient is φ = 50423513142464.

The previous prime is 105431454352303. The next prime is 105431454352417. The reversal of 105431454352324 is 423253454134501.

It is a happy number.

The square root of 105431454352324 is 10267982.

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., 90997290562500 + 14434163789824 = 9539250^2 + 3799232^2 .

It is a super-2 number, since 2×105431454352324² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 472215564 + ... + 472438780.

Almost surely, 2^{105431454352324} is an apocalyptic number.

105431454352324 is the 10267982-nd square number.

It is an amenable number.

105431454352324 is a deficient number, since it is larger than the sum of its proper divisors (87445194128073).

105431454352324 is an frugal number, since it uses more digits than its factorization.

105431454352324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446484 (or 223242 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 105431454352324 in words is "one hundred five trillion, four hundred thirty-one billion, four hundred fifty-four million, three hundred fifty-two thousand, three hundred twenty-four".