106825920 has 112 divisors (see below), whose sum is σ = 341376000. Its totient is φ = 28302336.

The previous prime is 106825891. The next prime is 106825949. The reversal of 106825920 is 29528601.

It is an interprime number because it is at equal distance from previous prime (106825891) and next prime (106825949).

It is a super-2 number, since 2×106825920² = 22823554367692800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213831 + ... + 214329.

It is an arithmetic number, because the mean of its divisors is an integer number (3048000).

Almost surely, 2^106825920 is an apocalyptic number.

106825920 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 106825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

106825920 is an abundant number, since it is smaller than the sum of its proper divisors (234550080).

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

106825920 is a wasteful number, since it uses less digits than its factorization.

106825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 106825920 is about 10335.6625331906. The cubic root of 106825920 is about 474.4883428682.

The spelling of 106825920 in words is "one hundred six million, eight hundred twenty-five thousand, nine hundred twenty".