106598985025 has 27 divisors (see below), whose sum is σ = 143161292169. Its totient is φ = 78703578720.

The previous prime is 106598985019. The next prime is 106598985071. The reversal of 106598985025 is 520589895601.

The square root of 106598985025 is 326495.

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 27476046081 + 79122938944 = 165759^2 + 281288^2 .

It is not a de Polignac number, because 106598985025 - 2¹¹ = 106598982977 is a prime.

It is a super-2 number, since 2×106598985025² (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, 21219664 + ... + 21224686.

Almost surely, 2^106598985025 is an apocalyptic number.

106598985025 is the 326495-th square number.

106598985025 is the 163248-th centered octagonal number.

It is an amenable number.

106598985025 is a deficient number, since it is larger than the sum of its proper divisors (36562307144).

106598985025 is an frugal number, since it uses more digits than its factorization.

106598985025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10082 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 58.

The spelling of 106598985025 in words is "one hundred six billion, five hundred ninety-eight million, nine hundred eighty-five thousand, twenty-five".