107781024 has 96 divisors (see below), whose sum is σ = 309476160. Its totient is φ = 32643072.

The previous prime is 107781007. The next prime is 107781031. The reversal of 107781024 is 420187701.

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

It is a junction number, because it is equal to n+sod(n) for n = 107780982 and 107781000.

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, 82972 + ... + 84260.

It is an arithmetic number, because the mean of its divisors is an integer number (3223710).

Almost surely, 2^107781024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107781024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154738080).

107781024 is an abundant number, since it is smaller than the sum of its proper divisors (201695136).

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

107781024 is a wasteful number, since it uses less digits than its factorization.

107781024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107781024 is about 10381.7640119587. The cubic root of 107781024 is about 475.8982434370.

The spelling of 107781024 in words is "one hundred seven million, seven hundred eighty-one thousand, twenty-four".