106311360 has 224 divisors, whose sum is σ = 359980992. Its totient is φ = 26542080.

The previous prime is 106311343. The next prime is 106311377. The reversal of 106311360 is 63113601.

It is an interprime number because it is at equal distance from previous prime (106311343) and next prime (106311377).

It is a super-2 number, since 2×106311360² = 22604210530099200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456284 + ... + 1456356.

It is an arithmetic number, because the mean of its divisors is an integer number (1607058).

Almost surely, 2^106311360 is an apocalyptic number.

106311360 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 106311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

106311360 is an abundant number, since it is smaller than the sum of its proper divisors (253669632).

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

106311360 is a wasteful number, since it uses less digits than its factorization.

106311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106311360 is about 10310.7400316369. The cubic root of 106311360 is about 473.7252765436.

Adding to 106311360 its reverse (63113601), we get a palindrome (169424961).

The spelling of 106311360 in words is "one hundred six million, three hundred eleven thousand, three hundred sixty".