105032153022320 has 160 divisors (see below), whose sum is σ = 256425198361920. Its totient is φ = 39953360240640.

The previous prime is 105032153022319. The next prime is 105032153022373. The reversal of 105032153022320 is 23220351230501.

It is a super-2 number, since 2×105032153022320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277831144 + ... + 1277913336.

It is an arithmetic number, because the mean of its divisors is an integer number (1602657489762).

Almost surely, 2^{105032153022320} is an apocalyptic number.

105032153022320 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 105032153022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128212599180960).

105032153022320 is an abundant number, since it is smaller than the sum of its proper divisors (151393045339600).

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

105032153022320 is a wasteful number, since it uses less digits than its factorization.

105032153022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90523 (or 90517 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 105032153022320 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, twenty-two thousand, three hundred twenty".