106504160 has 48 divisors (see below), whose sum is σ = 287564256. Its totient is φ = 36515328.

The previous prime is 106504129. The next prime is 106504169. The reversal of 106504160 is 61405601.

It is a super-2 number, since 2×106504160² = 22686272194611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46427 + ... + 48666.

It is an arithmetic number, because the mean of its divisors is an integer number (5990922).

Almost surely, 2^106504160 is an apocalyptic number.

106504160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106504160 is an abundant number, since it is smaller than the sum of its proper divisors (181060096).

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

106504160 is an equidigital number, since it uses as much as digits as its factorization.

106504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95115 (or 95107 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 106504160 is about 10320.0852709655. The cubic root of 106504160 is about 474.0114769901.

Adding to 106504160 its reverse (61405601), we get a palindrome (167909761).

The spelling of 106504160 in words is "one hundred six million, five hundred four thousand, one hundred sixty".