106686720 has 432 divisors, whose sum is σ = 446409600. Its totient is φ = 24385536.

The previous prime is 106686707. The next prime is 106686761. The reversal of 106686720 is 27686601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106686720² = 22764112448716800, which contains 22 as substring.

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

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, 15240957 + ... + 15240963.

Almost surely, 2^106686720 is an apocalyptic number.

106686720 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 106686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

106686720 is an abundant number, since it is smaller than the sum of its proper divisors (339722880).

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

106686720 is an frugal number, since it uses more digits than its factorization.

106686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106686720 is about 10328.9263720873. The cubic root of 106686720 is about 474.2821585560.

The spelling of 106686720 in words is "one hundred six million, six hundred eighty-six thousand, seven hundred twenty".