107827104 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 26987520.

The previous prime is 107827103. The next prime is 107827117. The reversal of 107827104 is 401728701.

It is not an unprimeable number, because it can be changed into a prime (107827103) 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, 214117 + ... + 214619.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^107827104 is an apocalyptic number.

107827104 is a gapful number since it is divisible by the number (14) 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 107827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

107827104 is an abundant number, since it is smaller than the sum of its proper divisors (257955936).

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

107827104 is a wasteful number, since it uses less digits than its factorization.

107827104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

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

The square root of 107827104 is about 10383.9830508336. The cubic root of 107827104 is about 475.9660545903.

It can be divided in two parts, 1078 and 27104, that multiplied together give a cube (29218112 = 308³).

The spelling of 107827104 in words is "one hundred seven million, eight hundred twenty-seven thousand, one hundred four".