100214140 has 48 divisors (see below), whose sum is σ = 234470880. Its totient is φ = 35723520.

The previous prime is 100214137. The next prime is 100214141. The reversal of 100214140 is 41412001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100214140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214141) 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, 895 + ... + 14185.

It is an arithmetic number, because the mean of its divisors is an integer number (4884810).

Almost surely, 2^100214140 is an apocalyptic number.

100214140 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 100214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117235440).

100214140 is an abundant number, since it is smaller than the sum of its proper divisors (134256740).

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

100214140 is a wasteful number, since it uses less digits than its factorization.

100214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13342 (or 13340 counting only the distinct ones).

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

The square root of 100214140 is about 10010.7012741366. The cubic root of 100214140 is about 464.4899637594.

Adding to 100214140 its reverse (41412001), we get a palindrome (141626141).

It can be divided in two parts, 10021 and 4140, that added together give a square (14161 = 119²).

The spelling of 100214140 in words is "one hundred million, two hundred fourteen thousand, one hundred forty".