106531303680 has 720 divisors, whose sum is σ = 411349276800. Its totient is φ = 26236846080.

The previous prime is 106531303673. The next prime is 106531303691. The reversal of 106531303680 is 86303135601.

It is a happy number.

106531303680 is a `hidden beast` number, since 10 + 6 + 531 + 3 + 0 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106531303680² (a number of 23 digits) contains 22 as substring.

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

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, 80766061 + ... + 80767379.

It is an arithmetic number, because the mean of its divisors is an integer number (571318440).

Almost surely, 2^106531303680 is an apocalyptic number.

106531303680 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 106531303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205674638400).

106531303680 is an abundant number, since it is smaller than the sum of its proper divisors (304817973120).

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

106531303680 is a wasteful number, since it uses less digits than its factorization.

106531303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106531303680 in words is "one hundred six billion, five hundred thirty-one million, three hundred three thousand, six hundred eighty".