106000524513720 has 256 divisors, whose sum is σ = 358340245056000. Its totient is φ = 27866750174208.

The previous prime is 106000524513713. The next prime is 106000524513731. The reversal of 106000524513720 is 27315425000601.

106000524513720 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 0 + 524 + 5 + 1 + 3 + 72 + 0 = 666.

It is a super-2 number, since 2×106000524513720² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171483847 + ... + 172100873.

It is an arithmetic number, because the mean of its divisors is an integer number (1399766582250).

Almost surely, 2^{106000524513720} is an apocalyptic number.

106000524513720 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 106000524513720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179170122528000).

106000524513720 is an abundant number, since it is smaller than the sum of its proper divisors (252339720542280).

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

106000524513720 is a wasteful number, since it uses less digits than its factorization.

106000524513720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619299 (or 619289 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 106000524513720 in words is "one hundred six trillion, five hundred twenty-four million, five hundred thirteen thousand, seven hundred twenty".