106325524730880 has 2816 divisors, whose sum is σ = 490361141329920. Its totient is φ = 21244280832000.

The previous prime is 106325524730879. The next prime is 106325524730899. The reversal of 106325524730880 is 88037425523601.

106325524730880 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 5 + 524 + 7 + 30 + 8 + 80 = 666.

It is a super-2 number, since 2×106325524730880² (a number of 29 digits) contains 22 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 18328823980 + ... + 18328829780.

Almost surely, 2^{106325524730880} is an apocalyptic number.

106325524730880 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 106325524730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245180570664960).

106325524730880 is an abundant number, since it is smaller than the sum of its proper divisors (384035616599040).

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

106325524730880 is a wasteful number, since it uses less digits than its factorization.

106325524730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 106325524730880 in words is "one hundred six trillion, three hundred twenty-five billion, five hundred twenty-four million, seven hundred thirty thousand, eight hundred eighty".