107209332 has 60 divisors (see below), whose sum is σ = 281634276. Its totient is φ = 35562240.

The previous prime is 107209321. The next prime is 107209337. The reversal of 107209332 is 233902701.

It can be written as a sum of positive squares in 2 ways, for example, as 96943716 + 10265616 = 9846^2 + 3204^2 .

It is a super-2 number, since 2×107209332² = 22987681735772448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107209296 and 107209305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107209337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77398 + ... + 78770.

Almost surely, 2^107209332 is an apocalyptic number.

107209332 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 107209332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817138).

107209332 is an abundant number, since it is smaller than the sum of its proper divisors (174424944).

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

107209332 is a wasteful number, since it uses less digits than its factorization.

107209332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107209332 is about 10354.1939328950. The cubic root of 107209332 is about 475.0553316891.

The spelling of 107209332 in words is "one hundred seven million, two hundred nine thousand, three hundred thirty-two".