106812360 has 192 divisors, whose sum is σ = 380090880. Its totient is φ = 25896960.

The previous prime is 106812347. The next prime is 106812373. The reversal of 106812360 is 63218601.

It is an interprime number because it is at equal distance from previous prime (106812347) and next prime (106812373).

It is a super-2 number, since 2×106812360² = 22817760497539200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189439 + ... + 190001.

It is an arithmetic number, because the mean of its divisors is an integer number (1979640).

Almost surely, 2^106812360 is an apocalyptic number.

106812360 is a gapful number since it is divisible by the number (10) 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 106812360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190045440).

106812360 is an abundant number, since it is smaller than the sum of its proper divisors (273278520).

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

106812360 is a wasteful number, since it uses less digits than its factorization.

106812360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106812360 is about 10335.0065312026. The cubic root of 106812360 is about 474.4682655493.

It can be divided in two parts, 10681 and 2360, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 106812360 in words is "one hundred six million, eight hundred twelve thousand, three hundred sixty".