106573920 has 48 divisors (see below), whose sum is σ = 335709360. Its totient is φ = 28419584.

The previous prime is 106573919. The next prime is 106573921. The reversal of 106573920 is 29375601.

It is an interprime number because it is at equal distance from previous prime (106573919) and next prime (106573921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106573920² = 22716000848332800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106573921) 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, 110535 + ... + 111494.

It is an arithmetic number, because the mean of its divisors is an integer number (6993945).

Almost surely, 2^106573920 is an apocalyptic number.

106573920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106573920 is an abundant number, since it is smaller than the sum of its proper divisors (229135440).

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

106573920 is a wasteful number, since it uses less digits than its factorization.

106573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222047 (or 222039 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 106573920 is about 10323.4645347383. The cubic root of 106573920 is about 474.1149465749.

The spelling of 106573920 in words is "one hundred six million, five hundred seventy-three thousand, nine hundred twenty".