107117164 has 48 divisors (see below), whose sum is σ = 243887616. Its totient is φ = 39916800.

The previous prime is 107117147. The next prime is 107117209. The reversal of 107117164 is 461711701.

It is a super-2 number, since 2×107117164² = 22948173646805792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477 + ... + 14644.

It is an arithmetic number, because the mean of its divisors is an integer number (5080992).

Almost surely, 2^107117164 is an apocalyptic number.

107117164 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 107117164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121943808).

107117164 is an abundant number, since it is smaller than the sum of its proper divisors (136770452).

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

107117164 is a wasteful number, since it uses less digits than its factorization.

107117164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 107117164 is about 10349.7422190120. The cubic root of 107117164 is about 474.9191574329.

Adding to 107117164 its reverse (461711701), we get a palindrome (568828865).

The spelling of 107117164 in words is "one hundred seven million, one hundred seventeen thousand, one hundred sixty-four".