105228328383396 has 243 divisors, whose sum is σ = 277624617742017. Its totient is φ = 33605489736000.

The previous prime is 105228328383377. The next prime is 105228328383419. The reversal of 105228328383396 is 693383823822501.

It is a happy number.

The square root of 105228328383396 is 10258086.

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

105228328383396 is a `hidden beast` number, since 1 + 0 + 5 + 228 + 3 + 28 + 383 + 3 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 499303344996 + 104729025038400 = 706614^2 + 10233720^2 .

It is a super-2 number, since 2×105228328383396² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 249948523266 + ... + 249948523686.

Almost surely, 2^{105228328383396} is an apocalyptic number.

105228328383396 is the 10258086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105228328383396

105228328383396 is an abundant number, since it is smaller than the sum of its proper divisors (172396289358621).

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

105228328383396 is an equidigital number, since it uses as much as digits as its factorization.

105228328383396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 105228328383396 in words is "one hundred five trillion, two hundred twenty-eight billion, three hundred twenty-eight million, three hundred eighty-three thousand, three hundred ninety-six".