100640000 has 180 divisors, whose sum is σ = 272978244. Its totient is φ = 36864000.

The previous prime is 100639999. The next prime is 100640003. The reversal of 100640000 is 46001.

It can be written as a sum of positive squares in 10 ways, for example, as 41165056 + 59474944 = 6416^2 + 7712^2 .

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 (100640003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2719982 + ... + 2720018.

Almost surely, 2^100640000 is an apocalyptic number.

100640000 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 100640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136489122).

100640000 is an abundant number, since it is smaller than the sum of its proper divisors (172338244).

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

100640000 is an frugal number, since it uses more digits than its factorization.

100640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100640000 is about 10031.9489631876. The cubic root of 100640000 is about 465.1469840195.

Adding to 100640000 its reverse (46001), we get a palindrome (100686001).

It can be divided in two parts, 100 and 640000, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 100640000 in words is "one hundred million, six hundred forty thousand".