106042133414 has 16 divisors (see below), whose sum is σ = 181796203008. Its totient is φ = 45444206472.

The previous prime is 106042133363. The next prime is 106042133419. The reversal of 106042133414 is 414331240601.

It is a happy number.

It is a super-2 number, since 2×106042133414² (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 (106042133419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84197 + ... + 468159.

It is an arithmetic number, because the mean of its divisors is an integer number (11362262688).

Almost surely, 2^106042133414 is an apocalyptic number.

106042133414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106042133414 is a deficient number, since it is larger than the sum of its proper divisors (75754069594).

106042133414 is a wasteful number, since it uses less digits than its factorization.

106042133414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403699.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 106042133414 in words is "one hundred six billion, forty-two million, one hundred thirty-three thousand, four hundred fourteen".