100523220 has 96 divisors (see below), whose sum is σ = 326301696. Its totient is φ = 22646400.

The previous prime is 100523147. The next prime is 100523221. The reversal of 100523220 is 22325001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100523220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100523221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28135 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (3398976).

Almost surely, 2^100523220 is an apocalyptic number.

100523220 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 100523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163150848).

100523220 is an abundant number, since it is smaller than the sum of its proper divisors (225778476).

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

100523220 is a wasteful number, since it uses less digits than its factorization.

100523220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100523220 is about 10026.1268693349. The cubic root of 100523220 is about 464.9669996236.

Adding to 100523220 its reverse (22325001), we get a palindrome (122848221).

The spelling of 100523220 in words is "one hundred million, five hundred twenty-three thousand, two hundred twenty".