100024704 has 96 divisors (see below), whose sum is σ = 310018800. Its totient is φ = 30772224.

The previous prime is 100024679. The next prime is 100024709. The reversal of 100024704 is 407420001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100024709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11637 + ... + 18315.

Almost surely, 2^100024704 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 100024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155009400).

100024704 is an abundant number, since it is smaller than the sum of its proper divisors (209994096).

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

100024704 is a wasteful number, since it uses less digits than its factorization.

100024704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 100024704 is about 10001.2351237235. The cubic root of 100024704 is about 464.1971021511.

Adding to 100024704 its reverse (407420001), we get a palindrome (507444705).

It can be divided in two parts, 10002 and 4704, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 100024704 in words is "one hundred million, twenty-four thousand, seven hundred four".