100638720 has 448 divisors, whose sum is σ = 440375040. Its totient is φ = 21233664.

The previous prime is 100638697. The next prime is 100638721. The reversal of 100638720 is 27836001.

100638720 is a `hidden beast` number, since 1 + 0 + 0 + 638 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100638721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741434 + ... + 7741446.

It is an arithmetic number, because the mean of its divisors is an integer number (982980).

Almost surely, 2^100638720 is an apocalyptic number.

100638720 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 100638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220187520).

100638720 is an abundant number, since it is smaller than the sum of its proper divisors (339736320).

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

100638720 is an equidigital number, since it uses as much as digits as its factorization.

100638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100638720 is about 10031.8851668069. The cubic root of 100638720 is about 465.1450120048.

The spelling of 100638720 in words is "one hundred million, six hundred thirty-eight thousand, seven hundred twenty".