106811734400 has 384 divisors, whose sum is σ = 321279436800. Its totient is φ = 34252554240.

The previous prime is 106811734399. The next prime is 106811734429. The reversal of 106811734400 is 4437118601.

It is a happy number.

It is a super-2 number, since 2×106811734400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68162417 + ... + 68163983.

It is an arithmetic number, because the mean of its divisors is an integer number (836665200).

Almost surely, 2^106811734400 is an apocalyptic number.

106811734400 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 106811734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160639718400).

106811734400 is an abundant number, since it is smaller than the sum of its proper divisors (214467702400).

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

106811734400 is a wasteful number, since it uses less digits than its factorization.

106811734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 106811734400 in words is "one hundred six billion, eight hundred eleven million, seven hundred thirty-four thousand, four hundred".