101970 has 48 divisors (see below), whose sum is σ = 292032. Its totient is φ = 24480.

The previous prime is 101963. The next prime is 101977. The reversal of 101970 is 79101.

It is an interprime number because it is at equal distance from previous prime (101963) and next prime (101977).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

2¹⁰¹⁹⁷⁰ is an apocalyptic number.

101970 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 101970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016).

101970 is an abundant number, since it is smaller than the sum of its proper divisors (190062).

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

101970 is a wasteful number, since it uses less digits than its factorization.

101970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 101970 is about 319.3274181776. The cubic root of 101970 is about 46.7187061199.

101970 divided by its sum of digits (18) gives a palindrome (5665).

It can be divided in two parts, 1019 and 70, that added together give a square (1089 = 33²).

The spelling of 101970 in words is "one hundred one thousand, nine hundred seventy".