106847890773504 has 320 divisors, whose sum is σ = 297860349050880. Its totient is φ = 33997338869760.

The previous prime is 106847890773467. The next prime is 106847890773511. The reversal of 106847890773504 is 405377098748601.

It is a super-2 number, since 2×106847890773504² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1157355954 + ... + 1157448270.

It is an arithmetic number, because the mean of its divisors is an integer number (930813590784).

Almost surely, 2^{106847890773504} 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 106847890773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148930174525440).

106847890773504 is an abundant number, since it is smaller than the sum of its proper divisors (191012458277376).

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

106847890773504 is a wasteful number, since it uses less digits than its factorization.

106847890773504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92701 (or 92685 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 106847890773504 in words is "one hundred six trillion, eight hundred forty-seven billion, eight hundred ninety million, seven hundred seventy-three thousand, five hundred four".