105214599424 has 243 divisors, whose sum is σ = 246173335821. Its totient is φ = 44840632320.

The previous prime is 105214599419. The next prime is 105214599431. The reversal of 105214599424 is 424995412501.

The square root of 105214599424 is 324368.

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., 47245369600 + 57969229824 = 217360^2 + 240768^2 .

It is a super-2 number, since 2×105214599424² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1084686544 + ... + 1084686640.

Almost surely, 2^105214599424 is an apocalyptic number.

105214599424 is the 324368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214599424

105214599424 is an abundant number, since it is smaller than the sum of its proper divisors (140958736397).

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

105214599424 is an frugal number, since it uses more digits than its factorization.

105214599424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 105214599424 in words is "one hundred five billion, two hundred fourteen million, five hundred ninety-nine thousand, four hundred twenty-four".