100048416 has 48 divisors (see below), whose sum is σ = 282832704. Its totient is φ = 30783744.

The previous prime is 100048411. The next prime is 100048423. The reversal of 100048416 is 614840001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100048411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38836 + ... + 41331.

It is an arithmetic number, because the mean of its divisors is an integer number (5892348).

Almost surely, 2^100048416 is an apocalyptic number.

100048416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100048416 is an abundant number, since it is smaller than the sum of its proper divisors (182784288).

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

100048416 is a wasteful number, since it uses less digits than its factorization.

100048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80193 (or 80185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100048416 is about 10002.4205070573. The cubic root of 100048416 is about 464.2337803302.

Adding to 100048416 its reverse (614840001), we get a palindrome (714888417).

The spelling of 100048416 in words is "one hundred million, forty-eight thousand, four hundred sixteen".