106019321472 has 512 divisors, whose sum is σ = 344730624000. Its totient is φ = 32349404160.

The previous prime is 106019321449. The next prime is 106019321549. The reversal of 106019321472 is 274123910601.

106019321472 is a `hidden beast` number, since 1 + 0 + 601 + 9 + 3 + 2 + 1 + 47 + 2 = 666.

It is a super-2 number, since 2×106019321472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 164881983 + ... + 164882625.

It is an arithmetic number, because the mean of its divisors is an integer number (673302000).

Almost surely, 2^106019321472 is an apocalyptic number.

106019321472 is a gapful number since it is divisible by the number (12) 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 106019321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172365312000).

106019321472 is an abundant number, since it is smaller than the sum of its proper divisors (238711302528).

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

106019321472 is an frugal number, since it uses more digits than its factorization.

106019321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 106019321472 in words is "one hundred six billion, nineteen million, three hundred twenty-one thousand, four hundred seventy-two".