105150642347520 has 5760 divisors, whose sum is σ = 511384297881600. Its totient is φ = 19828367032320.

The previous prime is 105150642347503. The next prime is 105150642347561. The reversal of 105150642347520 is 25743246051501.

105150642347520 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 0 + 64 + 23 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×105150642347520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 827957813697 + ... + 827957813823.

It is an arithmetic number, because the mean of its divisors is an integer number (88781996160).

Almost surely, 2^{105150642347520} is an apocalyptic number.

105150642347520 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 105150642347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255692148940800).

105150642347520 is an abundant number, since it is smaller than the sum of its proper divisors (406233655534080).

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

105150642347520 is a wasteful number, since it uses less digits than its factorization.

105150642347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 105150642347520 in words is "one hundred five trillion, one hundred fifty billion, six hundred forty-two million, three hundred forty-seven thousand, five hundred twenty".