106371532800 has 720 divisors, whose sum is σ = 424498494420. Its totient is φ = 26170490880.

The previous prime is 106371532769. The next prime is 106371532807. The reversal of 106371532800 is 8235173601.

106371532800 is a `hidden beast` number, since 1 + 0 + 6 + 371 + 5 + 3 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9087427584 + 97284105216 = 95328^2 + 311904^2 .

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

It is a super-2 number, since 2×106371532800² (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 not an unprimeable number, because it can be changed into a prime (106371532807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53912614 + ... + 53914586.

Almost surely, 2^106371532800 is an apocalyptic number.

106371532800 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 106371532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212249247210).

106371532800 is an abundant number, since it is smaller than the sum of its proper divisors (318126961620).

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

106371532800 is a wasteful number, since it uses less digits than its factorization.

106371532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106371532800 in words is "one hundred six billion, three hundred seventy-one million, five hundred thirty-two thousand, eight hundred".