100501920 has 144 divisors (see below), whose sum is σ = 348147072. Its totient is φ = 26396160.

The previous prime is 100501913. The next prime is 100501931. The reversal of 100501920 is 29105001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100501893 and 100501902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101749 + ... + 102731.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 2^100501920 is an apocalyptic number.

100501920 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 100501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073536).

100501920 is an abundant number, since it is smaller than the sum of its proper divisors (247645152).

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

100501920 is a wasteful number, since it uses less digits than its factorization.

100501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 100501920 is about 10025.0645883206. The cubic root of 100501920 is about 464.9341564766.

Adding to 100501920 its reverse (29105001), we get a palindrome (129606921).

The spelling of 100501920 in words is "one hundred million, five hundred one thousand, nine hundred twenty".