106059756384 has 288 divisors, whose sum is σ = 317615800320. Its totient is φ = 33530112000.

The previous prime is 106059756359. The next prime is 106059756403. The reversal of 106059756384 is 483657950601.

106059756384 is a `hidden beast` number, since 10 + 6 + 0 + 597 + 5 + 6 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106059756384² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106059756384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100912659 + ... + 100913709.

It is an arithmetic number, because the mean of its divisors is an integer number (1102832640).

Almost surely, 2^106059756384 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 106059756384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158807900160).

106059756384 is an abundant number, since it is smaller than the sum of its proper divisors (211556043936).

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

106059756384 is a wasteful number, since it uses less digits than its factorization.

106059756384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 106059756384 in words is "one hundred six billion, fifty-nine million, seven hundred fifty-six thousand, three hundred eighty-four".