106331142456 has 192 divisors, whose sum is σ = 359216881920. Its totient is φ = 27604892160.

The previous prime is 106331142419. The next prime is 106331142469. The reversal of 106331142456 is 654241133601.

106331142456 is a `hidden beast` number, since 1 + 0 + 63 + 3 + 1 + 142 + 456 = 666.

It is a super-2 number, since 2×106331142456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106331142456.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16423636 + ... + 16430108.

It is an arithmetic number, because the mean of its divisors is an integer number (1870921260).

Almost surely, 2^106331142456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106331142456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179608440960).

106331142456 is an abundant number, since it is smaller than the sum of its proper divisors (252885739464).

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

106331142456 is a wasteful number, since it uses less digits than its factorization.

106331142456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9459 counting only the distinct ones).

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

The spelling of 106331142456 in words is "one hundred six billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred fifty-six".