100038408 has 64 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 31622976.

The previous prime is 100038329. The next prime is 100038409. The reversal of 100038408 is 804830001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100038409) 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, 69391 + ... + 70817.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^100038408 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 100038408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

100038408 is an abundant number, since it is smaller than the sum of its proper divisors (163170552).

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

100038408 is a wasteful number, since it uses less digits than its factorization.

100038408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100038408 is about 10001.9202156386. The cubic root of 100038408 is about 464.2183004696.

Adding to 100038408 its reverse (804830001), we get a palindrome (904868409).

The spelling of 100038408 in words is "one hundred million, thirty-eight thousand, four hundred eight".