10100024 has 16 divisors (see below), whose sum is σ = 20659320. Its totient is φ = 4590880.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100024 is 42000101.

10100024 = 787² + 788² + ... + 802².

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10099984 and 10100020.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 57299 + ... + 57474.

Almost surely, 2^10100024 is an apocalyptic number.

It is an amenable number.

10100024 is an abundant number, since it is smaller than the sum of its proper divisors (10559296).

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

10100024 is a wasteful number, since it uses less digits than its factorization.

10100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114790 (or 114786 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10100024 is about 3178.0534923126. The cubic root of 10100024 is about 216.1594045096.

Adding to 10100024 its reverse (42000101), we get a palindrome (52100125).

The spelling of 10100024 in words is "ten million, one hundred thousand, twenty-four".