107305632 has 288 divisors, whose sum is σ = 384943104. Its totient is φ = 27648000.

The previous prime is 107305631. The next prime is 107305633. The reversal of 107305632 is 236503701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107305631) and next prime (107305633).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 107305596 and 107305605.

It is not an unprimeable number, because it can be changed into a prime (107305631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062382 + ... + 1062482.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608).

Almost surely, 2^107305632 is an apocalyptic number.

107305632 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 107305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552).

107305632 is an abundant number, since it is smaller than the sum of its proper divisors (277637472).

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

107305632 is a wasteful number, since it uses less digits than its factorization.

107305632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 107305632 is about 10358.8431786566. The cubic root of 107305632 is about 475.1975274503.

The spelling of 107305632 in words is "one hundred seven million, three hundred five thousand, six hundred thirty-two".