106800066432 has 256 divisors, whose sum is σ = 332617920000. Its totient is φ = 33643081728.

The previous prime is 106800066431. The next prime is 106800066493. The reversal of 106800066432 is 234660008601.

106800066432 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 0 + 0 + 6 + 643 + 2 = 666.

It is a super-2 number, since 2×106800066432² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106800066431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30006669 + ... + 30010227.

It is an arithmetic number, because the mean of its divisors is an integer number (1299288750).

Almost surely, 2^106800066432 is an apocalyptic number.

106800066432 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 106800066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166308960000).

106800066432 is an abundant number, since it is smaller than the sum of its proper divisors (225817853568).

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

106800066432 is a wasteful number, since it uses less digits than its factorization.

106800066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106800066432 in words is "one hundred six billion, eight hundred million, sixty-six thousand, four hundred thirty-two".