107709480 has 256 divisors, whose sum is σ = 393120000. Its totient is φ = 26127360.

The previous prime is 107709473. The next prime is 107709487. The reversal of 107709480 is 84907701.

107709480 is a `hidden beast` number, since 107 + 70 + 9 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (107709473) and next prime (107709487).

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (107709487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594990 + ... + 595170.

It is an arithmetic number, because the mean of its divisors is an integer number (1535625).

Almost surely, 2^107709480 is an apocalyptic number.

107709480 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 107709480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

107709480 is an abundant number, since it is smaller than the sum of its proper divisors (285410520).

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

107709480 is a wasteful number, since it uses less digits than its factorization.

107709480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107709480 is about 10378.3177827623. The cubic root of 107709480 is about 475.7929212478.

The spelling of 107709480 in words is "one hundred seven million, seven hundred nine thousand, four hundred eighty".