10005105350340 has 120 divisors (see below), whose sum is σ = 31559792416152. Its totient is φ = 2653287528960.

The previous prime is 10005105350329. The next prime is 10005105350377. The reversal of 10005105350340 is 4305350150001.

10005105350340 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 105 + 3 + 503 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1329759535104 + 8675345815236 = 1153152^2 + 2945394^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16767529 + ... + 17353968.

Almost surely, 2^{10005105350340} is an apocalyptic number.

10005105350340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005105350340 is an abundant number, since it is smaller than the sum of its proper divisors (21554687065812).

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

10005105350340 is a wasteful number, since it uses less digits than its factorization.

10005105350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34121699 (or 34121688 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10005105350340 in words is "ten trillion, five billion, one hundred five million, three hundred fifty thousand, three hundred forty".