106336432384 has 576 divisors, whose sum is σ = 290903388160. Its totient is φ = 37623398400.

The previous prime is 106336432373. The next prime is 106336432451. The reversal of 106336432384 is 483234633601.

It is a super-2 number, since 2×106336432384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 106336432384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704214709 + ... + 704214859.

Almost surely, 2^106336432384 is an apocalyptic number.

106336432384 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 106336432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145451694080).

106336432384 is an abundant number, since it is smaller than the sum of its proper divisors (184566955776).

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

106336432384 is a wasteful number, since it uses less digits than its factorization.

106336432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 106336432384 in words is "one hundred six billion, three hundred thirty-six million, four hundred thirty-two thousand, three hundred eighty-four".