106652961 has 12 divisors (see below), whose sum is σ = 155076480. Its totient is φ = 70630200.

The previous prime is 106652957. The next prime is 106652963. The reversal of 106652961 is 169256601.

106652961 is a `hidden beast` number, since 10 + 66 + 529 + 61 = 666.

It is not a de Polignac number, because 106652961 - 2² = 106652957 is a prime.

It is a super-2 number, since 2×106652961² = 22749708180135042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106652963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37881 + ... + 40598.

It is an arithmetic number, because the mean of its divisors is an integer number (12923040).

Almost surely, 2^106652961 is an apocalyptic number.

It is an amenable number.

106652961 is a deficient number, since it is larger than the sum of its proper divisors (48423519).

106652961 is a wasteful number, since it uses less digits than its factorization.

106652961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78636 (or 78633 counting only the distinct ones).

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

The square root of 106652961 is about 10327.2920458366. The cubic root of 106652961 is about 474.2321273978.

The spelling of 106652961 in words is "one hundred six million, six hundred fifty-two thousand, nine hundred sixty-one".