106367797365984 has 432 divisors, whose sum is σ = 396681577462800. Its totient is φ = 27627997985280.

The previous prime is 106367797365941. The next prime is 106367797366049. The reversal of 106367797365984 is 489563797763601.

106367797365984 is a `hidden beast` number, since 10 + 6 + 3 + 6 + 7 + 7 + 9 + 7 + 3 + 6 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106367797365984² (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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5259439 + ... + 15504750.

It is an arithmetic number, because the mean of its divisors is an integer number (918244392275).

Almost surely, 2^{106367797365984} is an apocalyptic number.

106367797365984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106367797365984 is an abundant number, since it is smaller than the sum of its proper divisors (290313780096816).

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

106367797365984 is a wasteful number, since it uses less digits than its factorization.

106367797365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764244 (or 20764212 counting only the distinct ones).

The product of its (nonzero) digits is 8641624320, while the sum is 81.

The spelling of 106367797365984 in words is "one hundred six trillion, three hundred sixty-seven billion, seven hundred ninety-seven million, three hundred sixty-five thousand, nine hundred eighty-four".