104274936480100 has 81 divisors (see below), whose sum is σ = 230638507003947. Its totient is φ = 40920869945280.

The previous prime is 104274936480089. The next prime is 104274936480103. The reversal of 104274936480100 is 1084639472401.

It is a happy number.

The square root of 104274936480100 is 10211510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 785495783524 + 103489440696576 = 886282^2 + 10172976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104274936480103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5412090667 + ... + 5412109933.

Almost surely, 2^{104274936480100} is an apocalyptic number.

104274936480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104274936480100 is the 10211510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104274936480100

104274936480100 is an abundant number, since it is smaller than the sum of its proper divisors (126363570523847).

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

104274936480100 is an frugal number, since it uses more digits than its factorization.

104274936480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38654 (or 19327 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 104274936480100 in words is "one hundred four trillion, two hundred seventy-four billion, nine hundred thirty-six million, four hundred eighty thousand, one hundred".