106830720 has 192 divisors, whose sum is σ = 390957840. Its totient is φ = 26787840.

The previous prime is 106830719. The next prime is 106830761. The reversal of 106830720 is 27038601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106830720² = 22825605471436800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97375 + ... + 98465.

Almost surely, 2^106830720 is an apocalyptic number.

106830720 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 106830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

106830720 is an abundant number, since it is smaller than the sum of its proper divisors (284127120).

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

106830720 is a wasteful number, since it uses less digits than its factorization.

106830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106830720 is about 10335.8947363061. The cubic root of 106830720 is about 474.4954494766.

The spelling of 106830720 in words is "one hundred six million, eight hundred thirty thousand, seven hundred twenty".