106800013632 has 224 divisors, whose sum is σ = 308338313472. Its totient is φ = 32429408256.

The previous prime is 106800013609. The next prime is 106800013643. The reversal of 106800013632 is 236310008601.

It is a super-2 number, since 2×106800013632² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106800013632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78126613 + ... + 78127979.

It is an arithmetic number, because the mean of its divisors is an integer number (1376510328).

Almost surely, 2^106800013632 is an apocalyptic number.

106800013632 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 106800013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154169156736).

106800013632 is an abundant number, since it is smaller than the sum of its proper divisors (201538299840).

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

106800013632 is a wasteful number, since it uses less digits than its factorization.

106800013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 106800013632 in words is "one hundred six billion, eight hundred million, thirteen thousand, six hundred thirty-two".