100240000 has 160 divisors (see below), whose sum is σ = 286783200. Its totient is φ = 34176000.

The previous prime is 100239983. The next prime is 100240027. The reversal of 100240000 is 42001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559911 + ... + 560089.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2^100240000 is an apocalyptic number.

100240000 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 100240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391600).

100240000 is an abundant number, since it is smaller than the sum of its proper divisors (186543200).

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

100240000 is an frugal number, since it uses more digits than its factorization.

100240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 100240000 is about 10011.9928086271. The cubic root of 100240000 is about 464.5299138017.

Adding to 100240000 its reverse (42001), we get a palindrome (100282001).

It can be divided in two parts, 100 and 240000, that added together give a square (240100 = 490²).

The spelling of 100240000 in words is "one hundred million, two hundred forty thousand".