100140138 has 80 divisors (see below), whose sum is σ = 258223680. Its totient is φ = 28413504.

The previous prime is 100140133. The next prime is 100140179. The reversal of 100140138 is 831041001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100140138.

It is not an unprimeable number, because it can be changed into a prime (100140133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264033 + ... + 264411.

It is an arithmetic number, because the mean of its divisors is an integer number (3227796).

Almost surely, 2^100140138 is an apocalyptic number.

100140138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100140138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129111840).

100140138 is an abundant number, since it is smaller than the sum of its proper divisors (158083542).

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

100140138 is a wasteful number, since it uses less digits than its factorization.

100140138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100140138 is about 10007.0044468862. The cubic root of 100140138 is about 464.3756031492.

Adding to 100140138 its reverse (831041001), we get a palindrome (931181139).

The spelling of 100140138 in words is "one hundred million, one hundred forty thousand, one hundred thirty-eight".