100145024 has 64 divisors (see below), whose sum is σ = 232764000. Its totient is φ = 42900480.

The previous prime is 100145021. The next prime is 100145027. The reversal of 100145024 is 420541001.

It is an interprime number because it is at equal distance from previous prime (100145021) and next prime (100145027).

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

It is a junction number, because it is equal to n+sod(n) for n = 100144993 and 100145011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100145021) 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, 42764 + ... + 45044.

Almost surely, 2^100145024 is an apocalyptic number.

100145024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116382000).

100145024 is an abundant number, since it is smaller than the sum of its proper divisors (132618976).

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

100145024 is an frugal number, since it uses more digits than its factorization.

100145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 100145024 is about 10007.2485729095. The cubic root of 100145024 is about 464.3831555730.

Adding to 100145024 its reverse (420541001), we get a palindrome (520686025).

The spelling of 100145024 in words is "one hundred million, one hundred forty-five thousand, twenty-four".