100048896 has 168 divisors, whose sum is σ = 306689760. Its totient is φ = 31358976.

The previous prime is 100048891. The next prime is 100048903. The reversal of 100048896 is 698840001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100048896.

It is not an unprimeable number, because it can be changed into a prime (100048891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695715 + ... + 1695773.

Almost surely, 2^100048896 is an apocalyptic number.

100048896 is a gapful number since it is divisible by the number (16) 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 100048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344880).

100048896 is an abundant number, since it is smaller than the sum of its proper divisors (206640864).

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

100048896 is an equidigital number, since it uses as much as digits as its factorization.

100048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100048896 is about 10002.4445012207. Note that the first 3 decimals coincide. The cubic root of 100048896 is about 464.2345227436.

Adding to 100048896 its reverse (698840001), we get a palindrome (798888897).

The spelling of 100048896 in words is "one hundred million, forty-eight thousand, eight hundred ninety-six".