100410104134144 has 240 divisors, whose sum is σ = 241797465657000. Its totient is φ = 41485184434176.

The previous prime is 100410104134069. The next prime is 100410104134217. The reversal of 100410104134144 is 441431401014001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94838615974144 + 5571488160000 = 9738512^2 + 2360400^2 .

It is a super-2 number, since 2×100410104134144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474985782 + ... + 475197130.

Almost surely, 2^{100410104134144} is an apocalyptic number.

100410104134144 is a gapful number since it is divisible by the number (14) 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 100410104134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120898732828500).

100410104134144 is an abundant number, since it is smaller than the sum of its proper divisors (141387361522856).

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

100410104134144 is an equidigital number, since it uses as much as digits as its factorization.

100410104134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212063 (or 212040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 100410104134144 its reverse (441431401014001), we get a palindrome (541841505148145).

The spelling of 100410104134144 in words is "one hundred trillion, four hundred ten billion, one hundred four million, one hundred thirty-four thousand, one hundred forty-four".