106266625 has 8 divisors (see below), whose sum is σ = 132620904. Its totient is φ = 85013200.

The previous prime is 106266619. The next prime is 106266649. The reversal of 106266625 is 526662601.

It can be written as a sum of positive squares in 4 ways, for example, as 3122289 + 103144336 = 1767^2 + 10156^2 .

It is not a de Polignac number, because 106266625 - 2³ = 106266617 is a prime.

It is a super-2 number, since 2×106266625² = 22585191177781250, which 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 7 ways as a sum of consecutive naturals, for example, 424942 + ... + 425191.

It is an arithmetic number, because the mean of its divisors is an integer number (16577613).

It is a Proth number, since it is equal to 3243 ⋅ 2¹⁵ + 1 and 3243 < 2¹⁵.

Almost surely, 2^106266625 is an apocalyptic number.

It is an amenable number.

106266625 is a deficient number, since it is larger than the sum of its proper divisors (26354279).

106266625 is an frugal number, since it uses more digits than its factorization.

106266625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850148 (or 850138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 106266625 is about 10308.5704634542. The cubic root of 106266625 is about 473.6588205743.

The spelling of 106266625 in words is "one hundred six million, two hundred sixty-six thousand, six hundred twenty-five".