106016563616431 has 8 divisors (see below), whose sum is σ = 114182427591344. Its totient is φ = 97852234455360.

The previous prime is 106016563616387. The next prime is 106016563616437. The reversal of 106016563616431 is 134616365610601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106016563616431 is a prime.

It is a super-2 number, since 2×106016563616431² (a number of 29 digits) 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 (106016563616437) 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, 383559990 + ... + 383836291.

It is an arithmetic number, because the mean of its divisors is an integer number (14272803448918).

Almost surely, 2^{106016563616431} is an apocalyptic number.

106016563616431 is a deficient number, since it is larger than the sum of its proper divisors (8165863974913).

106016563616431 is a wasteful number, since it uses less digits than its factorization.

106016563616431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767406921.

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 106016563616431 in words is "one hundred six trillion, sixteen billion, five hundred sixty-three million, six hundred sixteen thousand, four hundred thirty-one".