106265145014 has 32 divisors (see below), whose sum is σ = 184711388160. Its totient is φ = 44906882112.

The previous prime is 106265145013. The next prime is 106265145053. The reversal of 106265145014 is 410541562601.

It is a super-2 number, since 2×106265145014² (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 (106265145013) 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 15 ways as a sum of consecutive naturals, for example, 4877357 + ... + 4899095.

It is an arithmetic number, because the mean of its divisors is an integer number (5772230880).

Almost surely, 2^106265145014 is an apocalyptic number.

106265145014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106265145014 is a deficient number, since it is larger than the sum of its proper divisors (78446243146).

106265145014 is a wasteful number, since it uses less digits than its factorization.

106265145014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 106265145014 in words is "one hundred six billion, two hundred sixty-five million, one hundred forty-five thousand, fourteen".