107829470 has 128 divisors (see below), whose sum is σ = 252149760. Its totient is φ = 32348160.

The previous prime is 107829461. The next prime is 107829473. The reversal of 107829470 is 74928701.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107829473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364891 + ... + 1364969.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 2^107829470 is an apocalyptic number.

107829470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107829470 is an abundant number, since it is smaller than the sum of its proper divisors (144320290).

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

107829470 is a wasteful number, since it uses less digits than its factorization.

107829470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 107829470 is about 10384.0969756643. The cubic root of 107829470 is about 475.9695358655.

The spelling of 107829470 in words is "one hundred seven million, eight hundred twenty-nine thousand, four hundred seventy".