106642882467 has 48 divisors (see below), whose sum is σ = 168976743936. Its totient is φ = 64273824000.

The previous prime is 106642882399. The next prime is 106642882477. The reversal of 106642882467 is 764288246601.

It is a happy number.

106642882467 is a `hidden beast` number, since 1 + 0 + 66 + 42 + 8 + 82 + 467 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-106642882467 is a prime.

It is a super-2 number, since 2×106642882467² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106642882477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19633242 + ... + 19638672.

It is an arithmetic number, because the mean of its divisors is an integer number (3520348832).

Almost surely, 2^106642882467 is an apocalyptic number.

106642882467 is a deficient number, since it is larger than the sum of its proper divisors (62333861469).

106642882467 is a wasteful number, since it uses less digits than its factorization.

106642882467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 106642882467 in words is "one hundred six billion, six hundred forty-two million, eight hundred eighty-two thousand, four hundred sixty-seven".