100352000 has 180 divisors, whose sum is σ = 291364164. Its totient is φ = 34406400.

The previous prime is 100351987. The next prime is 100352017. The reversal of 100352000 is 253001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 97140736 = 1792^2 + 9856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14335997 + ... + 14336003.

Almost surely, 2^100352000 is an apocalyptic number.

100352000 is a gapful number since it is divisible by the number (10) 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 100352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145682082).

100352000 is an abundant number, since it is smaller than the sum of its proper divisors (191012164).

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

100352000 is an frugal number, since it uses more digits than its factorization.

100352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 100352000 is about 10017.5845391991. The cubic root of 100352000 is about 464.7028586851.

The spelling of 100352000 in words is "one hundred million, three hundred fifty-two thousand".