106571120 has 40 divisors (see below), whose sum is σ = 249693840. Its totient is φ = 42298880.

The previous prime is 106571117. The next prime is 106571159. The reversal of 106571120 is 21175601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106571120² = 22714807236108800, 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 7 ways as a sum of consecutive naturals, for example, 5396 + ... + 15564.

It is an arithmetic number, because the mean of its divisors is an integer number (6242346).

Almost surely, 2^106571120 is an apocalyptic number.

106571120 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 106571120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124846920).

106571120 is an abundant number, since it is smaller than the sum of its proper divisors (143122720).

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

106571120 is a wasteful number, since it uses less digits than its factorization.

106571120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 106571120 is about 10323.3289204597. The cubic root of 106571120 is about 474.1107944225.

The spelling of 106571120 in words is "one hundred six million, five hundred seventy-one thousand, one hundred twenty".