106501005149 has 24 divisors (see below), whose sum is σ = 135223730208. Its totient is φ = 82943478240.

The previous prime is 106501005133. The next prime is 106501005161. The reversal of 106501005149 is 941500105601.

It is not a de Polignac number, because 106501005149 - 2⁴ = 106501005133 is a prime.

It is a super-2 number, since 2×106501005149² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501002149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976067 + ... + 1079679.

It is an arithmetic number, because the mean of its divisors is an integer number (5634322092).

Almost surely, 2^106501005149 is an apocalyptic number.

It is an amenable number.

106501005149 is a deficient number, since it is larger than the sum of its proper divisors (28722725059).

106501005149 is a wasteful number, since it uses less digits than its factorization.

106501005149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105545 (or 105538 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 106501005149 in words is "one hundred six billion, five hundred one million, five thousand, one hundred forty-nine".