107782164 has 216 divisors, whose sum is σ = 343918848. Its totient is φ = 29393280.

The previous prime is 107782141. The next prime is 107782177. The reversal of 107782164 is 461287701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1476432 + ... + 1476504.

Almost surely, 2^107782164 is an apocalyptic number.

107782164 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 107782164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171959424).

107782164 is an abundant number, since it is smaller than the sum of its proper divisors (236136684).

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

107782164 is a wasteful number, since it uses less digits than its factorization.

107782164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107782164 is about 10381.8189157777. The cubic root of 107782164 is about 475.8999212899.

The spelling of 107782164 in words is "one hundred seven million, seven hundred eighty-two thousand, one hundred sixty-four".