100823520 has 192 divisors, whose sum is σ = 373234176. Its totient is φ = 22394880.

The previous prime is 100823497. The next prime is 100823533. The reversal of 100823520 is 25328001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123915 + ... + 124725.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 2^100823520 is an apocalyptic number.

100823520 is a gapful number since it is divisible by the number (10) 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 100823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

100823520 is an abundant number, since it is smaller than the sum of its proper divisors (272410656).

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

100823520 is a wasteful number, since it uses less digits than its factorization.

100823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100823520 is about 10041.0915741268. The cubic root of 100823520 is about 465.4295487360.

The spelling of 100823520 in words is "one hundred million, eight hundred twenty-three thousand, five hundred twenty".