100354116540 has 96 divisors (see below), whose sum is σ = 288867700800. Its totient is φ = 26012399616.

The previous prime is 100354116529. The next prime is 100354116563. The reversal of 100354116540 is 45611453001.

It is a happy number.

100354116540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100354116498 and 100354116507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2307234 + ... + 2350326.

It is an arithmetic number, because the mean of its divisors is an integer number (3009038550).

Almost surely, 2^100354116540 is an apocalyptic number.

100354116540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100354116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144433850400).

100354116540 is an abundant number, since it is smaller than the sum of its proper divisors (188513584260).

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

100354116540 is a wasteful number, since it uses less digits than its factorization.

100354116540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44191 (or 44189 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 100354116540 its reverse (45611453001), we get a palindrome (145965569541).

The spelling of 100354116540 in words is "one hundred billion, three hundred fifty-four million, one hundred sixteen thousand, five hundred forty".