107471136 has 48 divisors (see below), whose sum is σ = 284637024. Its totient is φ = 35503104.

The previous prime is 107471113. The next prime is 107471153. The reversal of 107471136 is 631174701.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5895 + ... + 15801.

It is an arithmetic number, because the mean of its divisors is an integer number (5929938).

Almost surely, 2^107471136 is an apocalyptic number.

107471136 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 107471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142318512).

107471136 is an abundant number, since it is smaller than the sum of its proper divisors (177165888).

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

107471136 is a wasteful number, since it uses less digits than its factorization.

107471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 107471136 is about 10366.8286375342. The cubic root of 107471136 is about 475.4417106327.

The spelling of 107471136 in words is "one hundred seven million, four hundred seventy-one thousand, one hundred thirty-six".