106354213614 has 48 divisors (see below), whose sum is σ = 251423827200. Its totient is φ = 32223275280.

The previous prime is 106354213613. The next prime is 106354213627. The reversal of 106354213614 is 416312453601.

106354213614 is a `hidden beast` number, since 1 + 0 + 6 + 35 + 4 + 2 + 1 + 3 + 614 = 666.

106354213614 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106354213614² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106354213613) 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 23 ways as a sum of consecutive naturals, for example, 1267537 + ... + 1348835.

It is an arithmetic number, because the mean of its divisors is an integer number (5237996400).

Almost surely, 2^106354213614 is an apocalyptic number.

106354213614 is an abundant number, since it is smaller than the sum of its proper divisors (145069613586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106354213614 is a wasteful number, since it uses less digits than its factorization.

106354213614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87925 (or 87922 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 106354213614 in words is "one hundred six billion, three hundred fifty-four million, two hundred thirteen thousand, six hundred fourteen".