106959845520 has 400 divisors, whose sum is σ = 415154678400. Its totient is φ = 25296537600.

The previous prime is 106959845501. The next prime is 106959845533. The reversal of 106959845520 is 25548959601.

106959845520 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 5 + 9 + 84 + 552 + 0 = 666.

It is a super-2 number, since 2×106959845520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2904181 + ... + 2940779.

It is an arithmetic number, because the mean of its divisors is an integer number (1037886696).

Almost surely, 2^106959845520 is an apocalyptic number.

106959845520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106959845520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207577339200).

106959845520 is an abundant number, since it is smaller than the sum of its proper divisors (308194832880).

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

106959845520 is a wasteful number, since it uses less digits than its factorization.

106959845520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36676 (or 36661 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 106959845520 in words is "one hundred six billion, nine hundred fifty-nine million, eight hundred forty-five thousand, five hundred twenty".