105190686720 has 1024 divisors, whose sum is σ = 442911744000. Its totient is φ = 23187161088.

The previous prime is 105190686697. The next prime is 105190686739. The reversal of 105190686720 is 27686091501.

105190686720 is a `hidden beast` number, since 1 + 0 + 519 + 0 + 68 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×105190686720² (a number of 23 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331527641 + ... + 1331527719.

It is an arithmetic number, because the mean of its divisors is an integer number (432531000).

Almost surely, 2^105190686720 is an apocalyptic number.

105190686720 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 105190686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221455872000).

105190686720 is an abundant number, since it is smaller than the sum of its proper divisors (337721057280).

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

105190686720 is an frugal number, since it uses more digits than its factorization.

105190686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 105190686720 in words is "one hundred five billion, one hundred ninety million, six hundred eighty-six thousand, seven hundred twenty".