106152036361101 has 24 divisors (see below), whose sum is σ = 160583987569824. Its totient is φ = 70067350717200.

The previous prime is 106152036361093. The next prime is 106152036361123. The reversal of 106152036361101 is 101163630251601.

106152036361101 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 2 + 0 + 3 + 636 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 106152036361101 - 2³ = 106152036361093 is a prime.

It is a super-2 number, since 2×106152036361101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106152036360101) 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, 2162548011 + ... + 2162597096.

It is an arithmetic number, because the mean of its divisors is an integer number (6690999482076).

Almost surely, 2^{106152036361101} is an apocalyptic number.

It is an amenable number.

106152036361101 is a deficient number, since it is larger than the sum of its proper divisors (54431951208723).

106152036361101 is an equidigital number, since it uses as much as digits as its factorization.

106152036361101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325145223 (or 4325145211 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106152036361101 in words is "one hundred six trillion, one hundred fifty-two billion, thirty-six million, three hundred sixty-one thousand, one hundred one".