100401024 has 64 divisors (see below), whose sum is σ = 272413440. Its totient is φ = 32749056.

The previous prime is 100401023. The next prime is 100401043. The reversal of 100401024 is 420104001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15267 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (4256460).

Almost surely, 2^100401024 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 100401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136206720).

100401024 is an abundant number, since it is smaller than the sum of its proper divisors (172012416).

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

100401024 is an equidigital number, since it uses as much as digits as its factorization.

100401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100401024 is about 10020.0311376762. The cubic root of 100401024 is about 464.7785186427.

Adding to 100401024 its reverse (420104001), we get a palindrome (520505025).

The spelling of 100401024 in words is "one hundred million, four hundred one thousand, twenty-four".