106941120 has 448 divisors, whose sum is σ = 430133760. Its totient is φ = 22118400.

The previous prime is 106941097. The next prime is 106941127. The reversal of 106941120 is 21149601.

It is a super-2 number, since 2×106941120² = 22872806293708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106941127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608300 + ... + 2608340.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^106941120 is an apocalyptic number.

106941120 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 106941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

106941120 is an abundant number, since it is smaller than the sum of its proper divisors (323192640).

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

106941120 is a wasteful number, since it uses less digits than its factorization.

106941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106941120 is about 10341.2339689227. The cubic root of 106941120 is about 474.6588427500.

The spelling of 106941120 in words is "one hundred six million, nine hundred forty-one thousand, one hundred twenty".