106836029784 has 512 divisors, whose sum is σ = 352066176000. Its totient is φ = 29669068800.

The previous prime is 106836029777. The next prime is 106836029821. The reversal of 106836029784 is 487920638601.

106836029784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106836029784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 106836029784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364627942 + ... + 364628234.

It is an arithmetic number, because the mean of its divisors is an integer number (687629250).

Almost surely, 2^106836029784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106836029784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088000).

106836029784 is an abundant number, since it is smaller than the sum of its proper divisors (245230146216).

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

106836029784 is a wasteful number, since it uses less digits than its factorization.

106836029784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 106836029784 in words is "one hundred six billion, eight hundred thirty-six million, twenty-nine thousand, seven hundred eighty-four".