106413373517145 has 64 divisors (see below), whose sum is σ = 186728070666240. Its totient is φ = 51595913779200.

The previous prime is 106413373517089. The next prime is 106413373517149. The reversal of 106413373517145 is 541715373314601.

It is not a de Polignac number, because 106413373517145 - 2²⁰ = 106413372468569 is a prime.

It is a super-2 number, since 2×106413373517145² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106413373517149) 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 63 ways as a sum of consecutive naturals, for example, 106139436 + ... + 107137325.

It is an arithmetic number, because the mean of its divisors is an integer number (2917626104160).

Almost surely, 2^{106413373517145} is an apocalyptic number.

106413373517145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106413373517145 is a deficient number, since it is larger than the sum of its proper divisors (80314697149095).

106413373517145 is a wasteful number, since it uses less digits than its factorization.

106413373517145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213276866.

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 106413373517145 in words is "one hundred six trillion, four hundred thirteen billion, three hundred seventy-three million, five hundred seventeen thousand, one hundred forty-five".