105187073040 has 300 divisors, whose sum is σ = 424977332076. Its totient is φ = 24042686976.

The previous prime is 105187073029. The next prime is 105187073107. The reversal of 105187073040 is 40370781501.

105187073040 is a `hidden beast` number, since 1 + 0 + 518 + 70 + 7 + 30 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37553788944 + 67633284096 = 193788^2 + 260064^2 .

It is a super-2 number, since 2×105187073040² (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 = 105187072986 and 105187073004.

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 59 ways as a sum of consecutive naturals, for example, 151882 + ... + 483158.

Almost surely, 2^105187073040 is an apocalyptic number.

105187073040 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 105187073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212488666038).

105187073040 is an abundant number, since it is smaller than the sum of its proper divisors (319790259036).

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

105187073040 is a wasteful number, since it uses less digits than its factorization.

105187073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331316 (or 331294 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 105187073040 in words is "one hundred five billion, one hundred eighty-seven million, seventy-three thousand, forty".