105720201815040 has 396 divisors, whose sum is σ = 386612418967164. Its totient is φ = 26708257308672.

The previous prime is 105720201814991. The next prime is 105720201815093. The reversal of 105720201815040 is 40518102027501.

It is a happy number.

105720201815040 is a `hidden beast` number, since 1 + 0 + 5 + 72 + 0 + 2 + 0 + 1 + 81 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18232763360256 + 87487438454784 = 4269984^2 + 9353472^2 .

It is a super-2 number, since 2×105720201815040² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105720201814986 and 105720201815004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13457214 + ... + 19812546.

Almost surely, 2^{105720201815040} is an apocalyptic number.

105720201815040 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 105720201815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193306209483582).

105720201815040 is an abundant number, since it is smaller than the sum of its proper divisors (280892217152124).

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

105720201815040 is a wasteful number, since it uses less digits than its factorization.

105720201815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355402 (or 6355362 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 105720201815040 in words is "one hundred five trillion, seven hundred twenty billion, two hundred one million, eight hundred fifteen thousand, forty".