100105640 has 48 divisors (see below), whose sum is σ = 228693780. Its totient is φ = 39436800.

The previous prime is 100105631. The next prime is 100105657. The reversal of 100105640 is 46501001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92891044 + 7214596 = 9638^2 + 2686^2 .

It is a super-2 number, since 2×100105640² = 20042278319619200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249440 + ... + 249840.

Almost surely, 2^100105640 is an apocalyptic number.

100105640 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 100105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114346890).

100105640 is an abundant number, since it is smaller than the sum of its proper divisors (128588140).

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

100105640 is an equidigital number, since it uses as much as digits as its factorization.

100105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100105640 is about 10005.2806057601. The cubic root of 100105640 is about 464.3222716551.

Adding to 100105640 its reverse (46501001), we get a palindrome (146606641).

The spelling of 100105640 in words is "one hundred million, one hundred five thousand, six hundred forty".