100390452 has 48 divisors (see below), whose sum is σ = 248586240. Its totient is φ = 31443552.

The previous prime is 100390429. The next prime is 100390463. The reversal of 100390452 is 254093001.

It is a super-3 number, since 3×100390452³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27223 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (5178880).

Almost surely, 2^100390452 is an apocalyptic number.

100390452 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 100390452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124293120).

100390452 is an abundant number, since it is smaller than the sum of its proper divisors (148195788).

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

100390452 is a wasteful number, since it uses less digits than its factorization.

100390452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100390452 is about 10019.5035805174. The cubic root of 100390452 is about 464.7622046956.

The spelling of 100390452 in words is "one hundred million, three hundred ninety thousand, four hundred fifty-two".