100141240 has 64 divisors (see below), whose sum is σ = 234912960. Its totient is φ = 38384640.

The previous prime is 100141211. The next prime is 100141273. The reversal of 100141240 is 42141001.

It is a self number, because there is not a number n which added to its sum of digits gives 100141240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104604 + ... + 105556.

It is an arithmetic number, because the mean of its divisors is an integer number (3670515).

Almost surely, 2^100141240 is an apocalyptic number.

100141240 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 100141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117456480).

100141240 is an abundant number, since it is smaller than the sum of its proper divisors (134771720).

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

100141240 is a wasteful number, since it uses less digits than its factorization.

100141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 100141240 is about 10007.0595081672. The cubic root of 100141240 is about 464.3773065622.

Adding to 100141240 its reverse (42141001), we get a palindrome (142282241).

The spelling of 100141240 in words is "one hundred million, one hundred forty-one thousand, two hundred forty".