105469057600 has 189 divisors, whose sum is σ = 272064570043. Its totient is φ = 40239063040.

The previous prime is 105469057559. The next prime is 105469057643. The reversal of 105469057600 is 6750964501.

The square root of 105469057600 is 324760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5774784064 + 99694273536 = 75992^2 + 315744^2 .

It is a super-2 number, since 2×105469057600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 298779024 + ... + 298779376.

Almost surely, 2^105469057600 is an apocalyptic number.

105469057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105469057600 is the 324760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105469057600

105469057600 is an abundant number, since it is smaller than the sum of its proper divisors (166595512443).

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

105469057600 is an frugal number, since it uses more digits than its factorization.

105469057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 105469057600 in words is "one hundred five billion, four hundred sixty-nine million, fifty-seven thousand, six hundred".