107729440 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 33868800.

The previous prime is 107729431. The next prime is 107729441. The reversal of 107729440 is 44927701.

It is a junction number, because it is equal to n+sod(n) for n = 107729396 and 107729405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107729441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713365 + ... + 713515.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^107729440 is an apocalyptic number.

107729440 is a gapful number since it is divisible by the number (10) 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 107729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

107729440 is an abundant number, since it is smaller than the sum of its proper divisors (214024160).

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

107729440 is a wasteful number, since it uses less digits than its factorization.

107729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 107729440 is about 10379.2793584141. The cubic root of 107729440 is about 475.8223096859.

The spelling of 107729440 in words is "one hundred seven million, seven hundred twenty-nine thousand, four hundred forty".