107211920 has 20 divisors (see below), whose sum is σ = 249267900. Its totient is φ = 42884736.

The previous prime is 107211913. The next prime is 107211959. The reversal of 107211920 is 29112701.

It can be written as a sum of positive squares in 2 ways, for example, as 11641744 + 95570176 = 3412^2 + 9776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×107211920² = 22988791580172800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669995 + ... + 670154.

It is an arithmetic number, because the mean of its divisors is an integer number (12463395).

Almost surely, 2^107211920 is an apocalyptic number.

107211920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107211920 is an abundant number, since it is smaller than the sum of its proper divisors (142055980).

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

107211920 is a wasteful number, since it uses less digits than its factorization.

107211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340162 (or 1340156 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 107211920 is about 10354.3189056548. The cubic root of 107211920 is about 475.0591542211.

The spelling of 107211920 in words is "one hundred seven million, two hundred eleven thousand, nine hundred twenty".