106786521600 has 480 divisors, whose sum is σ = 386797118400. Its totient is φ = 25755648000.

The previous prime is 106786521553. The next prime is 106786521607. The reversal of 106786521600 is 6125687601.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106786521600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106786521607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101797876 + ... + 101798924.

It is an arithmetic number, because the mean of its divisors is an integer number (805827330).

Almost surely, 2^106786521600 is an apocalyptic number.

106786521600 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 106786521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193398559200).

106786521600 is an abundant number, since it is smaller than the sum of its proper divisors (280010596800).

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

106786521600 is a wasteful number, since it uses less digits than its factorization.

106786521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 106786521600 in words is "one hundred six billion, seven hundred eighty-six million, five hundred twenty-one thousand, six hundred".