100145472 has 112 divisors (see below), whose sum is σ = 305043840. Its totient is φ = 28403712.

The previous prime is 100145471. The next prime is 100145477. The reversal of 100145472 is 274541001.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100145471) 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 15 ways as a sum of consecutive naturals, for example, 361398 + ... + 361674.

Almost surely, 2^100145472 is an apocalyptic number.

100145472 is a gapful number since it is divisible by the number (12) 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 100145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152521920).

100145472 is an abundant number, since it is smaller than the sum of its proper divisors (204898368).

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

100145472 is a wasteful number, since it uses less digits than its factorization.

100145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 100145472 is about 10007.2709566595. The cubic root of 100145472 is about 464.3838480466.

Adding to 100145472 its reverse (274541001), we get a palindrome (374686473).

The spelling of 100145472 in words is "one hundred million, one hundred forty-five thousand, four hundred seventy-two".