106508884631424 has 768 divisors, whose sum is σ = 324076196505600. Its totient is φ = 30727566581760.

The previous prime is 106508884631339. The next prime is 106508884631509. The reversal of 106508884631424 is 424136488805601.

It is an interprime number because it is at equal distance from previous prime (106508884631339) and next prime (106508884631509).

It is a super-2 number, since 2×106508884631424² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89729472559 + ... + 89729473745.

It is an arithmetic number, because the mean of its divisors is an integer number (421974214200).

Almost surely, 2^{106508884631424} 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 106508884631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162038098252800).

106508884631424 is an abundant number, since it is smaller than the sum of its proper divisors (217567311874176).

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

106508884631424 is a wasteful number, since it uses less digits than its factorization.

106508884631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 106508884631424 in words is "one hundred six trillion, five hundred eight billion, eight hundred eighty-four million, six hundred thirty-one thousand, four hundred twenty-four".