106355120 has 20 divisors (see below), whose sum is σ = 247275840. Its totient is φ = 42542016.

The previous prime is 106355113. The next prime is 106355149. The reversal of 106355120 is 21553601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106355120² = 22622823100428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664640 + ... + 664799.

It is an arithmetic number, because the mean of its divisors is an integer number (12363792).

Almost surely, 2^106355120 is an apocalyptic number.

106355120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106355120 is an abundant number, since it is smaller than the sum of its proper divisors (140920720).

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

106355120 is a wasteful number, since it uses less digits than its factorization.

106355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329452 (or 1329446 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106355120 is about 10312.8618724387. The cubic root of 106355120 is about 473.7902660688.

The spelling of 106355120 in words is "one hundred six million, three hundred fifty-five thousand, one hundred twenty".