107729352 has 80 divisors (see below), whose sum is σ = 305529840. Its totient is φ = 35459424.

The previous prime is 107729351. The next prime is 107729353. The reversal of 107729352 is 253927701.

It is an interprime number because it is at equal distance from previous prime (107729351) and next prime (107729353).

It is a super-2 number, since 2×107729352² = 23211226564679808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107729351) 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, 52783 + ... + 54785.

It is an arithmetic number, because the mean of its divisors is an integer number (3819123).

Almost surely, 2^107729352 is an apocalyptic number.

107729352 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 107729352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152764920).

107729352 is an abundant number, since it is smaller than the sum of its proper divisors (197800488).

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

107729352 is a wasteful number, since it uses less digits than its factorization.

107729352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 107729352 is about 10379.2751191979. The cubic root of 107729352 is about 475.8221801256.

The spelling of 107729352 in words is "one hundred seven million, seven hundred twenty-nine thousand, three hundred fifty-two".