106637846784 has 288 divisors, whose sum is σ = 330174351360. Its totient is φ = 29924966400.

The previous prime is 106637846743. The next prime is 106637846839. The reversal of 106637846784 is 487648736601.

It is a happy number.

It is a super-2 number, since 2×106637846784² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187412452 + ... + 187413020.

It is an arithmetic number, because the mean of its divisors is an integer number (1146438720).

Almost surely, 2^106637846784 is an apocalyptic number.

106637846784 is a gapful number since it is divisible by the number (14) 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 106637846784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087175680).

106637846784 is an abundant number, since it is smaller than the sum of its proper divisors (223536504576).

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

106637846784 is an equidigital number, since it uses as much as digits as its factorization.

106637846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 106637846784 in words is "one hundred six billion, six hundred thirty-seven million, eight hundred forty-six thousand, seven hundred eighty-four".