107969652 has 192 divisors, whose sum is σ = 350945280. Its totient is φ = 27993600.

The previous prime is 107969627. The next prime is 107969671. The reversal of 107969652 is 256969701.

It is a happy number.

It is a super-2 number, since 2×107969652² = 23314891506002208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107969598 and 107969607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398277 + ... + 398547.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 2^107969652 is an apocalyptic number.

107969652 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 107969652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640).

107969652 is an abundant number, since it is smaller than the sum of its proper divisors (242975628).

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

107969652 is a wasteful number, since it uses less digits than its factorization.

107969652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 107969652 is about 10390.8446239947. The cubic root of 107969652 is about 476.1757054422.

The spelling of 107969652 in words is "one hundred seven million, nine hundred sixty-nine thousand, six hundred fifty-two".