106105151567 has 8 divisors (see below), whose sum is σ = 106751731632. Its totient is φ = 105459235200.

The previous prime is 106105151561. The next prime is 106105151569. The reversal of 106105151567 is 765151501601.

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

It is a cyclic number.

It is not a de Polignac number, because 106105151567 - 2²⁶ = 106038042703 is a prime.

It is a super-2 number, since 2×106105151567² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106105151567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105151561) 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, 156692 + ... + 486582.

It is an arithmetic number, because the mean of its divisors is an integer number (13343966454).

Almost surely, 2^106105151567 is an apocalyptic number.

106105151567 is a deficient number, since it is larger than the sum of its proper divisors (646580065).

106105151567 is a wasteful number, since it uses less digits than its factorization.

106105151567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331849.

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 106105151567 in words is "one hundred six billion, one hundred five million, one hundred fifty-one thousand, five hundred sixty-seven".