106893920 has 48 divisors (see below), whose sum is σ = 288616608. Its totient is φ = 36648960.

The previous prime is 106893907. The next prime is 106893923. The reversal of 106893920 is 29398601.

It is a super-2 number, since 2×106893920² = 22852620265932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106893923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46601 + ... + 48840.

It is an arithmetic number, because the mean of its divisors is an integer number (6012846).

Almost surely, 2^106893920 is an apocalyptic number.

106893920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106893920 is an abundant number, since it is smaller than the sum of its proper divisors (181722688).

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

106893920 is an equidigital number, since it uses as much as digits as its factorization.

106893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95463 (or 95455 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 106893920 is about 10338.9515909496. The cubic root of 106893920 is about 474.5889999734.

The spelling of 106893920 in words is "one hundred six million, eight hundred ninety-three thousand, nine hundred twenty".