106301023920 has 800 divisors, whose sum is σ = 460980495360. Its totient is φ = 22103746560.

The previous prime is 106301023909. The next prime is 106301023981. The reversal of 106301023920 is 29320103601.

106301023920 is a `hidden beast` number, since 1 + 0 + 630 + 1 + 0 + 2 + 3 + 9 + 20 = 666.

It is a super-2 number, since 2×106301023920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 41866011 + ... + 41868549.

Almost surely, 2^106301023920 is an apocalyptic number.

106301023920 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 106301023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230490247680).

106301023920 is an abundant number, since it is smaller than the sum of its proper divisors (354679471440).

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

106301023920 is a wasteful number, since it uses less digits than its factorization.

106301023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 106301023920 in words is "one hundred six billion, three hundred one million, twenty-three thousand, nine hundred twenty".