105019038720 has 264 divisors, whose sum is σ = 364757615664. Its totient is φ = 27938193408.

The previous prime is 105019038679. The next prime is 105019038743. The reversal of 105019038720 is 27830910501.

105019038720 is a `hidden beast` number, since 10 + 501 + 90 + 38 + 7 + 20 = 666.

It is a super-2 number, since 2×105019038720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21056067 + ... + 21061053.

Almost surely, 2^105019038720 is an apocalyptic number.

105019038720 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 105019038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182378807832).

105019038720 is an abundant number, since it is smaller than the sum of its proper divisors (259738576944).

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

105019038720 is a wasteful number, since it uses less digits than its factorization.

105019038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 105019038720 in words is "one hundred five billion, nineteen million, thirty-eight thousand, seven hundred twenty".