100012240 has 80 divisors (see below), whose sum is σ = 241627392. Its totient is φ = 38472192.

The previous prime is 100012223. The next prime is 100012247. The reversal of 100012240 is 42210001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251722 + ... + 252118.

Almost surely, 2^100012240 is an apocalyptic number.

100012240 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 100012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120813696).

100012240 is an abundant number, since it is smaller than the sum of its proper divisors (141615152).

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

100012240 is a wasteful number, since it uses less digits than its factorization.

100012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100012240 is about 10000.6119812739. The cubic root of 100012240 is about 464.1778202711.

Adding to 100012240 its reverse (42210001), we get a palindrome (142222241).

The spelling of 100012240 in words is "one hundred million, twelve thousand, two hundred forty".