106156626651601 has 8 divisors (see below), whose sum is σ = 106213477353984. Its totient is φ = 106099782168720.

The previous prime is 106156626651527. The next prime is 106156626651611.

106156626651601 is nontrivially palindromic in base 10.

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 106156626651601 - 2¹⁹ = 106156626127313 is a prime.

It is a super-3 number, since 3×106156626651601³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106156626651611) 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 7 ways as a sum of consecutive naturals, for example, 32793951 + ... + 35885323.

It is an arithmetic number, because the mean of its divisors is an integer number (13276684669248).

Almost surely, 2^{106156626651601} is an apocalyptic number.

It is an amenable number.

106156626651601 is a deficient number, since it is larger than the sum of its proper divisors (56850702383).

106156626651601 is a wasteful number, since it uses less digits than its factorization.

106156626651601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109751.

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 106156626651601 in words is "one hundred six trillion, one hundred fifty-six billion, six hundred twenty-six million, six hundred fifty-one thousand, six hundred one".