106311647 has 24 divisors (see below), whose sum is σ = 120209040. Its totient is φ = 93899520.

The previous prime is 106311599. The next prime is 106311661. The reversal of 106311647 is 746113601.

It is not a de Polignac number, because 106311647 - 2²⁰ = 105263071 is a prime.

It is a super-2 number, since 2×106311647² = 22604332575705218, 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 (106311547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464129 + ... + 464357.

It is an arithmetic number, because the mean of its divisors is an integer number (5008710).

Almost surely, 2^106311647 is an apocalyptic number.

106311647 is a deficient number, since it is larger than the sum of its proper divisors (13897393).

106311647 is a wasteful number, since it uses less digits than its factorization.

106311647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106311647 is about 10310.7539491543. The cubic root of 106311647 is about 473.7257028356.

The spelling of 106311647 in words is "one hundred six million, three hundred eleven thousand, six hundred forty-seven".