100242400340 has 12 divisors (see below), whose sum is σ = 210509040756. Its totient is φ = 40096960128.

The previous prime is 100242400339. The next prime is 100242400367. The reversal of 100242400340 is 43004242001.

It can be written as a sum of positive squares in 2 ways, for example, as 21974504644 + 78267895696 = 148238^2 + 279764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5012120017 = 100242400340 / (1 + 0 + 0 + 2 + 4 + 2 + 4 + 0 + 0 + 3 + 4 + 0).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2506059989 + ... + 2506060028.

It is an arithmetic number, because the mean of its divisors is an integer number (17542420063).

Almost surely, 2^100242400340 is an apocalyptic number.

100242400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100242400340 is an abundant number, since it is smaller than the sum of its proper divisors (110266640416).

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

100242400340 is a wasteful number, since it uses less digits than its factorization.

100242400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012120026 (or 5012120024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100242400340 its reverse (43004242001), we get a palindrome (143246642341).

The spelling of 100242400340 in words is "one hundred billion, two hundred forty-two million, four hundred thousand, three hundred forty".