106800521472 has 216 divisors, whose sum is σ = 336567329280. Its totient is φ = 32424837120.

The previous prime is 106800521453. The next prime is 106800521473. The reversal of 106800521472 is 274125008601.

106800521472 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 0 + 521 + 4 + 72 = 666.

It is a super-2 number, since 2×106800521472² (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 (106800521473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170229 + ... + 1258187.

It is an arithmetic number, because the mean of its divisors is an integer number (1558182080).

Almost surely, 2^106800521472 is an apocalyptic number.

106800521472 is a gapful number since it is divisible by the number (12) 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 106800521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168283664640).

106800521472 is an abundant number, since it is smaller than the sum of its proper divisors (229766807808).

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

106800521472 is a wasteful number, since it uses less digits than its factorization.

106800521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88029 (or 88012 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 106800521472 in words is "one hundred six billion, eight hundred million, five hundred twenty-one thousand, four hundred seventy-two".