100403105114400 has 288 divisors, whose sum is σ = 368023021019136. Its totient is φ = 23554980480000.

The previous prime is 100403105114309. The next prime is 100403105114449. The reversal of 100403105114400 is 4411501304001.

It is a happy number.

It is a super-2 number, since 2×100403105114400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60522696 + ... + 62159495.

It is an arithmetic number, because the mean of its divisors is an integer number (1277857711872).

Almost surely, 2^{100403105114400} is an apocalyptic number.

100403105114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100403105114400 is an abundant number, since it is smaller than the sum of its proper divisors (267619915904736).

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

100403105114400 is a wasteful number, since it uses less digits than its factorization.

100403105114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122682256 (or 122682243 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 100403105114400 its reverse (4411501304001), we get a palindrome (104814606418401).

The spelling of 100403105114400 in words is "one hundred trillion, four hundred three billion, one hundred five million, one hundred fourteen thousand, four hundred".