100114040 has 64 divisors (see below), whose sum is σ = 255376800. Its totient is φ = 35016192.

The previous prime is 100113997. The next prime is 100114067. The reversal of 100114040 is 40411001.

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, 4814 + ... + 14946.

Almost surely, 2^100114040 is an apocalyptic number.

100114040 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 100114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127688400).

100114040 is an abundant number, since it is smaller than the sum of its proper divisors (155262760).

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

100114040 is a wasteful number, since it uses less digits than its factorization.

100114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100114040 is about 10005.7003752861. The cubic root of 100114040 is about 464.3352585957.

Adding to 100114040 its reverse (40411001), we get a palindrome (140525041).

The spelling of 100114040 in words is "one hundred million, one hundred fourteen thousand, forty".