107784096 has 96 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 30487296.

The previous prime is 107784077. The next prime is 107784107. The reversal of 107784096 is 690487701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×107784096³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71155 + ... + 72653.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^107784096 is an apocalyptic number.

107784096 is a gapful number since it is divisible by the number (16) 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 107784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

107784096 is an abundant number, since it is smaller than the sum of its proper divisors (218807904).

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

107784096 is a wasteful number, since it uses less digits than its factorization.

107784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 107784096 is about 10381.9119626396. The cubic root of 107784096 is about 475.9027647818.

The spelling of 107784096 in words is "one hundred seven million, seven hundred eighty-four thousand, ninety-six".