105034701840 has 40 divisors (see below), whose sum is σ = 325607576448. Its totient is φ = 28009253760.

The previous prime is 105034701817. The next prime is 105034701847. The reversal of 105034701840 is 48107430501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105034701840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105034701847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218822056 + ... + 218822535.

Almost surely, 2^105034701840 is an apocalyptic number.

105034701840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105034701840 is an abundant number, since it is smaller than the sum of its proper divisors (220572874608).

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

105034701840 is a wasteful number, since it uses less digits than its factorization.

105034701840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437644607 (or 437644601 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 105034701840 in words is "one hundred five billion, thirty-four million, seven hundred one thousand, eight hundred forty".