106434511414 has 128 divisors (see below), whose sum is σ = 211569408000. Its totient is φ = 39760560000.

The previous prime is 106434511369. The next prime is 106434511549. The reversal of 106434511414 is 414115434601.

It is a super-2 number, since 2×106434511414² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106434511414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33042324 + ... + 33045544.

It is an arithmetic number, because the mean of its divisors is an integer number (1652886000).

Almost surely, 2^106434511414 is an apocalyptic number.

106434511414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106434511414 is a deficient number, since it is larger than the sum of its proper divisors (105134896586).

106434511414 is a wasteful number, since it uses less digits than its factorization.

106434511414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 106434511414 in words is "one hundred six billion, four hundred thirty-four million, five hundred eleven thousand, four hundred fourteen".