100045152 has 48 divisors (see below), whose sum is σ = 291800880. Its totient is φ = 33348096.

The previous prime is 100045123. The next prime is 100045163. The reversal of 100045152 is 251540001.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57033 + ... + 58760.

It is an arithmetic number, because the mean of its divisors is an integer number (6079185).

Almost surely, 2^100045152 is an apocalyptic number.

100045152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100045152 is an abundant number, since it is smaller than the sum of its proper divisors (191755728).

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

100045152 is a wasteful number, since it uses less digits than its factorization.

100045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115812 (or 115798 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100045152 is about 10002.2573452196. The cubic root of 100045152 is about 464.2287318560.

Adding to 100045152 its reverse (251540001), we get a palindrome (351585153).

The spelling of 100045152 in words is "one hundred million, forty-five thousand, one hundred fifty-two".