106266951 has 16 divisors (see below), whose sum is σ = 179923200. Its totient is φ = 60723864.

The previous prime is 106266947. The next prime is 106266971. The reversal of 106266951 is 159662601.

It is not a de Polignac number, because 106266951 - 2² = 106266947 is a prime.

It is a super-2 number, since 2×106266951² = 22585329749672802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106266911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280941 + ... + 281318.

It is an arithmetic number, because the mean of its divisors is an integer number (11245200).

Almost surely, 2^106266951 is an apocalyptic number.

106266951 is a deficient number, since it is larger than the sum of its proper divisors (73656249).

106266951 is an equidigital number, since it uses as much as digits as its factorization.

106266951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562275 (or 562269 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106266951 is about 10308.5862755278. The cubic root of 106266951 is about 473.6593049303.

The spelling of 106266951 in words is "one hundred six million, two hundred sixty-six thousand, nine hundred fifty-one".