106154601001 has 8 divisors (see below), whose sum is σ = 106295893704. Its totient is φ = 106013393280.

The previous prime is 106154600989. The next prime is 106154601011. The reversal of 106154601001 is 100106451601.

It can be written as a sum of positive squares in 4 ways, for example, as 24704294976 + 81450306025 = 157176^2 + 285395^2 .

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-106154601001 is a prime.

It is a super-2 number, since 2×106154601001² (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 (106154601011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2707131 + ... + 2746063.

It is an arithmetic number, because the mean of its divisors is an integer number (13286986713).

Almost surely, 2^106154601001 is an apocalyptic number.

It is an amenable number.

106154601001 is a deficient number, since it is larger than the sum of its proper divisors (141292703).

106154601001 is a wasteful number, since it uses less digits than its factorization.

106154601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42491.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 106154601001 in words is "one hundred six billion, one hundred fifty-four million, six hundred one thousand, one".