106695360 has 224 divisors, whose sum is σ = 385145280. Its totient is φ = 27795456.

The previous prime is 106695359. The next prime is 106695361. The reversal of 106695360 is 63596601.

It is an interprime number because it is at equal distance from previous prime (106695359) and next prime (106695361).

It is a super-2 number, since 2×106695360² = 22767799691059200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106695361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457804 + ... + 458036.

Almost surely, 2^106695360 is an apocalyptic number.

106695360 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 106695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

106695360 is an abundant number, since it is smaller than the sum of its proper divisors (278449920).

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

106695360 is a wasteful number, since it uses less digits than its factorization.

106695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 106695360 is about 10329.3446065082. The cubic root of 106695360 is about 474.2949614217.

The spelling of 106695360 in words is "one hundred six million, six hundred ninety-five thousand, three hundred sixty".