107352000 has 448 divisors, whose sum is σ = 456468480. Its totient is φ = 24192000.

The previous prime is 107351989. The next prime is 107352001. The reversal of 107352000 is 253701.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107352001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511965 + ... + 1512035.

Almost surely, 2^107352000 is an apocalyptic number.

107352000 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 107352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

107352000 is an abundant number, since it is smaller than the sum of its proper divisors (349116480).

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

107352000 is an equidigital number, since it uses as much as digits as its factorization.

107352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 107352000 is about 10361.0810246808. The cubic root of 107352000 is about 475.2659637029.

The spelling of 107352000 in words is "one hundred seven million, three hundred fifty-two thousand".