100016640 has 160 divisors (see below), whose sum is σ = 355512960. Its totient is φ = 26652672.

The previous prime is 100016599. The next prime is 100016641. The reversal of 100016640 is 46610001.

100016640 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 664 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (100016641) 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, 68397 + ... + 69843.

It is an arithmetic number, because the mean of its divisors is an integer number (2221956).

Almost surely, 2^100016640 is an apocalyptic number.

100016640 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 100016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177756480).

100016640 is an abundant number, since it is smaller than the sum of its proper divisors (255496320).

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

100016640 is an equidigital number, since it uses as much as digits as its factorization.

100016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100016640 is about 10000.8319653917. The cubic root of 100016640 is about 464.1846272795.

Adding to 100016640 its reverse (46610001), we get a palindrome (146626641).

It can be divided in two parts, 10001 and 6640, that added together give a square (16641 = 129²).

The spelling of 100016640 in words is "one hundred million, sixteen thousand, six hundred forty".