106010065625 has 12 divisors (see below), whose sum is σ = 132504105132. Its totient is φ = 84808050000.

The previous prime is 106010065597. The next prime is 106010065673. The reversal of 106010065625 is 526560010601.

It can be written as a sum of positive squares in 6 ways, for example, as 78947512576 + 27062553049 = 280976^2 + 164507^2 .

It is not a de Polignac number, because 106010065625 - 2⁶ = 106010065561 is a prime.

It is a super-2 number, since 2×106010065625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106010065591 and 106010065600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16958486 + ... + 16964735.

It is an arithmetic number, because the mean of its divisors is an integer number (11042008761).

Almost surely, 2^106010065625 is an apocalyptic number.

It is an amenable number.

106010065625 is a deficient number, since it is larger than the sum of its proper divisors (26494039507).

106010065625 is an frugal number, since it uses more digits than its factorization.

106010065625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33923246 (or 33923226 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 106010065625 in words is "one hundred six billion, ten million, sixty-five thousand, six hundred twenty-five".