107311752 has 96 divisors (see below), whose sum is σ = 312207480. Its totient is φ = 33177600.

The previous prime is 107311751. The next prime is 107311811. The reversal of 107311752 is 257113701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74753316 + 32558436 = 8646^2 + 5706^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107311751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88752 + ... + 89952.

Almost surely, 2^107311752 is an apocalyptic number.

107311752 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 107311752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156103740).

107311752 is an abundant number, since it is smaller than the sum of its proper divisors (204895728).

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

107311752 is a wasteful number, since it uses less digits than its factorization.

107311752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107311752 is about 10359.1385742252. The cubic root of 107311752 is about 475.2065613147.

The spelling of 107311752 in words is "one hundred seven million, three hundred eleven thousand, seven hundred fifty-two".