100414504351 has 40 divisors (see below), whose sum is σ = 120539757744. Its totient is φ = 83583118080.

The previous prime is 100414504339. The next prime is 100414504357. The reversal of 100414504351 is 153405414001.

It is not a de Polignac number, because 100414504351 - 2¹³ = 100414496159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414504357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78264756 + ... + 78266038.

Almost surely, 2^100414504351 is an apocalyptic number.

100414504351 is a deficient number, since it is larger than the sum of its proper divisors (20125253393).

100414504351 is an frugal number, since it uses more digits than its factorization.

100414504351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 100414504351 its reverse (153405414001), we get a palindrome (253819918352).

The spelling of 100414504351 in words is "one hundred billion, four hundred fourteen million, five hundred four thousand, three hundred fifty-one".