106107559467 has 64 divisors (see below), whose sum is σ = 183537392640. Its totient is φ = 52951449600.

The previous prime is 106107559457. The next prime is 106107559471. The reversal of 106107559467 is 764955701601.

It is a happy number.

It is not a de Polignac number, because 106107559467 - 2⁴ = 106107559451 is a prime.

It is a super-2 number, since 2×106107559467² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106107559447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3933867 + ... + 3960747.

It is an arithmetic number, because the mean of its divisors is an integer number (2867771760).

Almost surely, 2^106107559467 is an apocalyptic number.

106107559467 is a deficient number, since it is larger than the sum of its proper divisors (77429833173).

106107559467 is a wasteful number, since it uses less digits than its factorization.

106107559467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27684.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 106107559467 in words is "one hundred six billion, one hundred seven million, five hundred fifty-nine thousand, four hundred sixty-seven".