106371720 has 384 divisors, whose sum is σ = 452874240. Its totient is φ = 21012480.

The previous prime is 106371673. The next prime is 106371751. The reversal of 106371720 is 27173601.

106371720 is a `hidden beast` number, since 1 + 0 + 637 + 1 + 7 + 20 = 666.

It is a super-2 number, since 2×106371720² = 22629885631516800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556825 + ... + 557015.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^106371720 is an apocalyptic number.

106371720 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 106371720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

106371720 is an abundant number, since it is smaller than the sum of its proper divisors (346502520).

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

106371720 is a wasteful number, since it uses less digits than its factorization.

106371720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106371720 is about 10313.6666612801. Note that the first 5 decimals coincide. The cubic root of 106371720 is about 473.8149146526.

The spelling of 106371720 in words is "one hundred six million, three hundred seventy-one thousand, seven hundred twenty".