100049664 has 144 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 27955200.

The previous prime is 100049657. The next prime is 100049669. The reversal of 100049664 is 466940001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100049669) 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, 109369 + ... + 110279.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2^100049664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

100049664 is an abundant number, since it is smaller than the sum of its proper divisors (213123840).

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

100049664 is a wasteful number, since it uses less digits than its factorization.

100049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 100049664 is about 10002.4828917624. The cubic root of 100049664 is about 464.2357106001.

Adding to 100049664 its reverse (466940001), we get a palindrome (566989665).

The spelling of 100049664 in words is "one hundred million, forty-nine thousand, six hundred sixty-four".