106003030033920 has 640 divisors, whose sum is σ = 349532892213120. Its totient is φ = 27394682388480.

The previous prime is 106003030033913. The next prime is 106003030033949. The reversal of 106003030033920 is 29330030300601.

106003030033920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×106003030033920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12216548622 + ... + 12216557298.

It is an arithmetic number, because the mean of its divisors is an integer number (546145144083).

Almost surely, 2^{106003030033920} is an apocalyptic number.

106003030033920 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 106003030033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174766446106560).

106003030033920 is an abundant number, since it is smaller than the sum of its proper divisors (243529862179200).

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

106003030033920 is an equidigital number, since it uses as much as digits as its factorization.

106003030033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The spelling of 106003030033920 in words is "one hundred six trillion, three billion, thirty million, thirty-three thousand, nine hundred twenty".