106853803225 has 81 divisors (see below), whose sum is σ = 147975377277. Its totient is φ = 76506780480.

The previous prime is 106853803193. The next prime is 106853803247. The reversal of 106853803225 is 522308358601.

The square root of 106853803225 is 326885.

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 27541725849 + 79312077376 = 165957^2 + 281624^2 .

It is not a de Polignac number, because 106853803225 - 2⁵ = 106853803193 is a prime.

It is a super-2 number, since 2×106853803225² (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 80 ways as a sum of consecutive naturals, for example, 998633622 + ... + 998633728.

Almost surely, 2^106853803225 is an apocalyptic number.

106853803225 is the 326885-th square number.

106853803225 is the 163443-rd centered octagonal number.

It is an amenable number.

106853803225 is a deficient number, since it is larger than the sum of its proper divisors (41121574052).

106853803225 is an equidigital number, since it uses as much as digits as its factorization.

106853803225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 106853803225 in words is "one hundred six billion, eight hundred fifty-three million, eight hundred three thousand, two hundred twenty-five".