106867830384 has 320 divisors, whose sum is σ = 367057459200. Its totient is φ = 29106874368.

The previous prime is 106867830373. The next prime is 106867830401. The reversal of 106867830384 is 483038768601.

106867830384 is a `hidden beast` number, since 106 + 86 + 7 + 83 + 0 + 384 = 666.

It is a super-2 number, since 2×106867830384² (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 106867830384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21767322 + ... + 21772230.

It is an arithmetic number, because the mean of its divisors is an integer number (1147054560).

Almost surely, 2^106867830384 is an apocalyptic number.

106867830384 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 106867830384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183528729600).

106867830384 is an abundant number, since it is smaller than the sum of its proper divisors (260189628816).

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

106867830384 is a wasteful number, since it uses less digits than its factorization.

106867830384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 106867830384 in words is "one hundred six billion, eight hundred sixty-seven million, eight hundred thirty thousand, three hundred eighty-four".