106849920 has 256 divisors, whose sum is σ = 374544000. Its totient is φ = 25804800.

The previous prime is 106849907. The next prime is 106849921. The reversal of 106849920 is 29948601.

It is a super-2 number, since 2×106849920² = 22833810808012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106849921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057870 + ... + 1057970.

Almost surely, 2^106849920 is an apocalyptic number.

106849920 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 106849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

106849920 is an abundant number, since it is smaller than the sum of its proper divisors (267694080).

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

106849920 is a wasteful number, since it uses less digits than its factorization.

106849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 106849920 is about 10336.8234966067. The cubic root of 106849920 is about 474.5238737815.

The spelling of 106849920 in words is "one hundred six million, eight hundred forty-nine thousand, nine hundred twenty".