106153243614 has 144 divisors (see below), whose sum is σ = 266424736032. Its totient is φ = 30462960000.

The previous prime is 106153243607. The next prime is 106153243627. The reversal of 106153243614 is 416342351601.

106153243614 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 32 + 4 + 3 + 614 = 666.

It is a super-2 number, since 2×106153243614² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5049004 + ... + 5069984.

It is an arithmetic number, because the mean of its divisors is an integer number (1850171778).

Almost surely, 2^106153243614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106153243614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133212368016).

106153243614 is an abundant number, since it is smaller than the sum of its proper divisors (160271492418).

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

106153243614 is a wasteful number, since it uses less digits than its factorization.

106153243614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21121 counting only the distinct ones).

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

The spelling of 106153243614 in words is "one hundred six billion, one hundred fifty-three million, two hundred forty-three thousand, six hundred fourteen".