107921000 has 64 divisors (see below), whose sum is σ = 275520960. Its totient is φ = 39240000.

The previous prime is 107920963. The next prime is 107921003. The reversal of 107921000 is 129701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (107921003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6095 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (4305015).

Almost surely, 2^107921000 is an apocalyptic number.

107921000 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 107921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760480).

107921000 is an abundant number, since it is smaller than the sum of its proper divisors (167599960).

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

107921000 is a wasteful number, since it uses less digits than its factorization.

107921000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 107921000 is about 10388.5032608167. The cubic root of 107921000 is about 476.1041718195.

It can be divided in two parts, 10 and 7921000, that multiplied together give a square (79210000 = 8900²).

The spelling of 107921000 in words is "one hundred seven million, nine hundred twenty-one thousand".