1014400100 has 144 divisors (see below), whose sum is σ = 2617832448. Its totient is φ = 333970560.

The previous prime is 1014400097. The next prime is 1014400117. The reversal of 1014400100 is 10044101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2016449 + ... + 2016951.

It is an arithmetic number, because the mean of its divisors is an integer number (18179392).

Almost surely, 2^1014400100 is an apocalyptic number.

1014400100 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 1014400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308916224).

1014400100 is an abundant number, since it is smaller than the sum of its proper divisors (1603432348).

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

1014400100 is a wasteful number, since it uses less digits than its factorization.

1014400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

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

The square root of 1014400100 is about 31849.6483497071. The cubic root of 1014400100 is about 1004.7771755861. Note that the first 3 decimals are identical.

Adding to 1014400100 its reverse (10044101), we get a palindrome (1024444201).

The spelling of 1014400100 in words is "one billion, fourteen million, four hundred thousand, one hundred".