100063152 has 120 divisors (see below), whose sum is σ = 326255904. Its totient is φ = 28035072.

The previous prime is 100063151. The next prime is 100063157. The reversal of 100063152 is 251360001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100063151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52488 + ... + 54360.

Almost surely, 2^100063152 is an apocalyptic number.

100063152 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 100063152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163127952).

100063152 is an abundant number, since it is smaller than the sum of its proper divisors (226192752).

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

100063152 is a wasteful number, since it uses less digits than its factorization.

100063152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100063152 is about 10003.1571016355. The cubic root of 100063152 is about 464.2565713395.

The spelling of 100063152 in words is "one hundred million, sixty-three thousand, one hundred fifty-two".