100048220416 has 81 divisors (see below), whose sum is σ = 204091912479. Its totient is φ = 48948676608.

The previous prime is 100048220413. The next prime is 100048220431. The reversal of 100048220416 is 614022840001.

The square root of 100048220416 is 316304.

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 7242690816 + 92805529600 = 85104^2 + 304640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100048220413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 268225606 + ... + 268225978.

Almost surely, 2^100048220416 is an apocalyptic number.

100048220416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100048220416 is the 316304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100048220416

100048220416 is an abundant number, since it is smaller than the sum of its proper divisors (104043692063).

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

100048220416 is an frugal number, since it uses more digits than its factorization.

100048220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 428 counting only the distinct ones).

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

The spelling of 100048220416 in words is "one hundred billion, forty-eight million, two hundred twenty thousand, four hundred sixteen".