106496767 has 32 divisors (see below), whose sum is σ = 127339520. Its totient is φ = 88179840.

The previous prime is 106496759. The next prime is 106496833. The reversal of 106496767 is 767694601.

It is a cyclic number.

It is not a de Polignac number, because 106496767 - 2³ = 106496759 is a prime.

It is a super-2 number, since 2×106496767² = 22683122762904578, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 106496767 = 7³ + 474³ = 255³ + 448³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106496717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392842 + ... + 393112.

It is an arithmetic number, because the mean of its divisors is an integer number (3979360).

Almost surely, 2^106496767 is an apocalyptic number.

106496767 is a deficient number, since it is larger than the sum of its proper divisors (20842753).

106496767 is a wasteful number, since it uses less digits than its factorization.

106496767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 106496767 is about 10319.7270797245. The cubic root of 106496767 is about 474.0005088804. Note that the first 3 decimals are identical.

The spelling of 106496767 in words is "one hundred six million, four hundred ninety-six thousand, seven hundred sixty-seven".