106002767 has 8 divisors (see below), whose sum is σ = 120165360. Its totient is φ = 92698560.

The previous prime is 106002761. The next prime is 106002773. The reversal of 106002767 is 767200601.

It is an interprime number because it is at equal distance from previous prime (106002761) and next prime (106002773).

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 106002767 - 2⁴ = 106002751 is a prime.

It is a super-2 number, since 2×106002767² = 22473173223312578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106002761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214334 + ... + 214827.

It is an arithmetic number, because the mean of its divisors is an integer number (15020670).

Almost surely, 2^106002767 is an apocalyptic number.

106002767 is a deficient number, since it is larger than the sum of its proper divisors (14162593).

106002767 is a wasteful number, since it uses less digits than its factorization.

106002767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429193.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 106002767 is about 10295.7645175091. The cubic root of 106002767 is about 473.2664670582.

The spelling of 106002767 in words is "one hundred six million, two thousand, seven hundred sixty-seven".