100027914 has 48 divisors (see below), whose sum is σ = 233676288. Its totient is φ = 28461888.

The previous prime is 100027841. The next prime is 100027927. The reversal of 100027914 is 419720001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91479 + ... + 92565.

It is an arithmetic number, because the mean of its divisors is an integer number (4868256).

Almost surely, 2^100027914 is an apocalyptic number.

100027914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100027914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116838144).

100027914 is an abundant number, since it is smaller than the sum of its proper divisors (133648374).

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

100027914 is a wasteful number, since it uses less digits than its factorization.

100027914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100027914 is about 10001.3956026147. The cubic root of 100027914 is about 464.2020677803.

Adding to 100027914 its reverse (419720001), we get a palindrome (519747915).

The spelling of 100027914 in words is "one hundred million, twenty-seven thousand, nine hundred fourteen".