106642142563 has 8 divisors (see below), whose sum is σ = 116341004016. Its totient is φ = 96943968000.

The previous prime is 106642142557. The next prime is 106642142623. The reversal of 106642142563 is 365241246601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106642142563 - 2⁹ = 106642142051 is a prime.

It is a super-2 number, since 2×106642142563² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106642142363) 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, 185163 + ... + 497563.

It is an arithmetic number, because the mean of its divisors is an integer number (14542625502).

Almost surely, 2^106642142563 is an apocalyptic number.

106642142563 is a deficient number, since it is larger than the sum of its proper divisors (9698861453).

106642142563 is a wasteful number, since it uses less digits than its factorization.

106642142563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343445.

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 106642142563 in words is "one hundred six billion, six hundred forty-two million, one hundred forty-two thousand, five hundred sixty-three".