10104034420100 has 72 divisors (see below), whose sum is σ = 22154579990088. Its totient is φ = 3999444480000.

The previous prime is 10104034420063. The next prime is 10104034420127. The reversal of 10104034420100 is 102443040101.

It can be written as a sum of positive squares in 12 ways, for example, as 6627957568324 + 3476076851776 = 2574482^2 + 1864424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 82398434 + ... + 82520966.

Almost surely, 2^{10104034420100} is an apocalyptic number.

10104034420100 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 10104034420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077289995044).

10104034420100 is an abundant number, since it is smaller than the sum of its proper divisors (12050545569988).

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

10104034420100 is a wasteful number, since it uses less digits than its factorization.

10104034420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131145 (or 131138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10104034420100 its reverse (102443040101), we get a palindrome (10206477460201).

The spelling of 10104034420100 in words is "ten trillion, one hundred four billion, thirty-four million, four hundred twenty thousand, one hundred".