106858164 has 48 divisors (see below), whose sum is σ = 285925248. Its totient is φ = 30427008.

The previous prime is 106858163. The next prime is 106858217. The reversal of 106858164 is 461858601.

It is a super-2 number, since 2×106858164² = 22837334426901792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106858163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24622 + ... + 28634.

It is an arithmetic number, because the mean of its divisors is an integer number (5956776).

Almost surely, 2^106858164 is an apocalyptic number.

106858164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106858164 is an abundant number, since it is smaller than the sum of its proper divisors (179067084).

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

106858164 is a wasteful number, since it uses less digits than its factorization.

106858164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106858164 is about 10337.2222574539. Note that the first 4 decimals coincide. The cubic root of 106858164 is about 474.5360774226.

The spelling of 106858164 in words is "one hundred six million, eight hundred fifty-eight thousand, one hundred sixty-four".