100434400340 has 12 divisors (see below), whose sum is σ = 210912240756. Its totient is φ = 40173760128.

The previous prime is 100434400309. The next prime is 100434400373. The reversal of 100434400340 is 43004434001.

It can be written as a sum of positive squares in 2 ways, for example, as 48251394244 + 52183006096 = 219662^2 + 228436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2510859989 + ... + 2510860028.

It is an arithmetic number, because the mean of its divisors is an integer number (17576020063).

Almost surely, 2^100434400340 is an apocalyptic number.

100434400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434400340 is an abundant number, since it is smaller than the sum of its proper divisors (110477840416).

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

100434400340 is a wasteful number, since it uses less digits than its factorization.

100434400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021720026 (or 5021720024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 100434400340 its reverse (43004434001), we get a palindrome (143438834341).

The spelling of 100434400340 in words is "one hundred billion, four hundred thirty-four million, four hundred thousand, three hundred forty".