100014640 has 80 divisors (see below), whose sum is σ = 256724640. Its totient is φ = 35932160.

The previous prime is 100014583. The next prime is 100014643. The reversal of 100014640 is 46410001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77682 + ... + 78958.

It is an arithmetic number, because the mean of its divisors is an integer number (3209058).

Almost surely, 2^100014640 is an apocalyptic number.

100014640 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 100014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128362320).

100014640 is an abundant number, since it is smaller than the sum of its proper divisors (156710000).

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

100014640 is a wasteful number, since it uses less digits than its factorization.

100014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100014640 is about 10000.7319732108. The cubic root of 100014640 is about 464.1815332095.

Adding to 100014640 its reverse (46410001), we get a palindrome (146424641).

It can be divided in two parts, 10001 and 4640, that added together give a palindrome (14641).

The spelling of 100014640 in words is "one hundred million, fourteen thousand, six hundred forty".