107921970 has 160 divisors (see below), whose sum is σ = 322117488. Its totient is φ = 25754112.

The previous prime is 107921927. The next prime is 107921971. The reversal of 107921970 is 79129701.

It can be written as a sum of positive squares in 8 ways, for example, as 31236921 + 76685049 = 5589^2 + 8757^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107921971) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 389472 + ... + 389748.

Almost surely, 2^107921970 is an apocalyptic number.

107921970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107921970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161058744).

107921970 is an abundant number, since it is smaller than the sum of its proper divisors (214195518).

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

107921970 is a wasteful number, since it uses less digits than its factorization.

107921970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 107921970 is about 10388.5499469368. The cubic root of 107921970 is about 476.1055982323.

The spelling of 107921970 in words is "one hundred seven million, nine hundred twenty-one thousand, nine hundred seventy".