106508058624 has 528 divisors, whose sum is σ = 366414310080. Its totient is φ = 30576476160.

The previous prime is 106508058599. The next prime is 106508058731. The reversal of 106508058624 is 426850805601.

106508058624 is a `hidden beast` number, since 1 + 0 + 65 + 0 + 8 + 0 + 586 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×106508058624² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106508058624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5605687287 + ... + 5605687305.

Almost surely, 2^106508058624 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 106508058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207155040).

106508058624 is an abundant number, since it is smaller than the sum of its proper divisors (259906251456).

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

106508058624 is an frugal number, since it uses more digits than its factorization.

106508058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 106508058624 in words is "one hundred six billion, five hundred eight million, fifty-eight thousand, six hundred twenty-four".