107970 has 32 divisors (see below), whose sum is σ = 267840. Its totient is φ = 27840.

The previous prime is 107951. The next prime is 107971. The reversal of 107970 is 79701.

It is a self number, because there is not a number n which added to its sum of digits gives 107970.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107971) by changing a digit.

107970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹⁰⁷⁹⁷⁰ is an apocalyptic number.

107970 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 107970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

107970 is an abundant number, since it is smaller than the sum of its proper divisors (159870).

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

107970 is a wasteful number, since it uses less digits than its factorization.

107970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 107970 is about 328.5878877865. The cubic root of 107970 is about 47.6176217033.

The spelling of 107970 in words is "one hundred seven thousand, nine hundred seventy".