105007581540 has 144 divisors (see below), whose sum is σ = 336445165056. Its totient is φ = 26468467200.

The previous prime is 105007581517. The next prime is 105007581551. The reversal of 105007581540 is 45185700501.

105007581540 is a `hidden beast` number, since 1 + 0 + 500 + 75 + 81 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×105007581540² (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 junction number, because it is equal to n+sod(n) for n = 105007581495 and 105007581504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21120 + ... + 458760.

Almost surely, 2^105007581540 is an apocalyptic number.

105007581540 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 105007581540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168222582528).

105007581540 is an abundant number, since it is smaller than the sum of its proper divisors (231437583516).

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

105007581540 is a wasteful number, since it uses less digits than its factorization.

105007581540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437730 (or 437725 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 105007581540 in words is "one hundred five billion, seven million, five hundred eighty-one thousand, five hundred forty".