100883424 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 32140800.

The previous prime is 100883351. The next prime is 100883437. The reversal of 100883424 is 424388001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100883391 and 100883400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324229 + ... + 324539.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^100883424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100883424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

100883424 is an abundant number, since it is smaller than the sum of its proper divisors (175873056).

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

100883424 is a wasteful number, since it uses less digits than its factorization.

100883424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 100883424 is about 10044.0740738009. The cubic root of 100883424 is about 465.5217083554.

The spelling of 100883424 in words is "one hundred million, eight hundred eighty-three thousand, four hundred twenty-four".