106347321920 has 336 divisors, whose sum is σ = 302162041344. Its totient is φ = 34913894400.

The previous prime is 106347321893. The next prime is 106347321973. The reversal of 106347321920 is 29123743601.

It is a super-2 number, since 2×106347321920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229691609 + ... + 229692071.

Almost surely, 2^106347321920 is an apocalyptic number.

106347321920 is a gapful number since it is divisible by the number (10) 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 106347321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151081020672).

106347321920 is an abundant number, since it is smaller than the sum of its proper divisors (195814719424).

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

106347321920 is an equidigital number, since it uses as much as digits as its factorization.

106347321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 106347321920 in words is "one hundred six billion, three hundred forty-seven million, three hundred twenty-one thousand, nine hundred twenty".