106653961 has 2 divisors, whose sum is σ = 106653962. Its totient is φ = 106653960.

The previous prime is 106653941. The next prime is 106653977. The reversal of 106653961 is 169356601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64000000 + 42653961 = 8000^2 + 6531^2 .

It is a cyclic number.

It is not a de Polignac number, because 106653961 - 2¹³ = 106645769 is a prime.

It is a super-2 number, since 2×106653961² = 22750134793979042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106653961.

It is not a weakly prime, because it can be changed into another prime (106653931) 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 as a sum of consecutive naturals, namely, 53326980 + 53326981.

It is an arithmetic number, because the mean of its divisors is an integer number (53326981).

Almost surely, 2^106653961 is an apocalyptic number.

It is an amenable number.

106653961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106653961 is an equidigital number, since it uses as much as digits as its factorization.

106653961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 106653961 is about 10327.3404611255. The cubic root of 106653961 is about 474.2336095590.

The spelling of 106653961 in words is "one hundred six million, six hundred fifty-three thousand, nine hundred sixty-one".