106007965 has 8 divisors (see below), whose sum is σ = 145382400. Its totient is φ = 72691152.

The previous prime is 106007953. The next prime is 106007977. The reversal of 106007965 is 569700601.

It is an interprime number because it is at equal distance from previous prime (106007953) and next prime (106007977).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106007965 - 2⁹ = 106007453 is a prime.

It is a super-2 number, since 2×106007965² = 22475377286882450, 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 106007965.

It is a congruent 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, 1514365 + ... + 1514434.

It is an arithmetic number, because the mean of its divisors is an integer number (18172800).

Almost surely, 2^106007965 is an apocalyptic number.

It is an amenable number.

106007965 is a deficient number, since it is larger than the sum of its proper divisors (39374435).

106007965 is an equidigital number, since it uses as much as digits as its factorization.

106007965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028811.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 106007965 is about 10296.0169483155. The cubic root of 106007965 is about 473.2742027019.

The spelling of 106007965 in words is "one hundred six million, seven thousand, nine hundred sixty-five".