106385974032 has 80 divisors (see below), whose sum is σ = 298230787008. Its totient is φ = 32484241920.

The previous prime is 106385974001. The next prime is 106385974039. The reversal of 106385974032 is 230479583601.

It is a super-2 number, since 2×106385974032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106385974039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 568983 + ... + 732470.

It is a 1-persistent number, because it is pandigital, but 2⋅106385974032 = 212771948064 is not.

Almost surely, 2^106385974032 is an apocalyptic number.

106385974032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106385974032 is an abundant number, since it is smaller than the sum of its proper divisors (191844812976).

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

106385974032 is a wasteful number, since it uses less digits than its factorization.

106385974032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301608 (or 1301602 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 106385974032 in words is "one hundred six billion, three hundred eighty-five million, nine hundred seventy-four thousand, thirty-two".