100403260416 has 66 divisors (see below), whose sum is σ = 289912262172. Its totient is φ = 33467750400.

The previous prime is 100403260411. The next prime is 100403260483. The reversal of 100403260416 is 614062304001.

100403260416 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 3 + 2 + 604 + 16 = 666.

It is a super-2 number, since 2×100403260416² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100403260416.

It is not an unprimeable number, because it can be changed into a prime (100403260411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5438010 + ... + 5456441.

Almost surely, 2^100403260416 is an apocalyptic number.

100403260416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100403260416 is an abundant number, since it is smaller than the sum of its proper divisors (189509001756).

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

100403260416 is a wasteful number, since it uses less digits than its factorization.

100403260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894477 (or 10894456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100403260416 its reverse (614062304001), we get a palindrome (714465564417).

The spelling of 100403260416 in words is "one hundred billion, four hundred three million, two hundred sixty thousand, four hundred sixteen".