101973960 has 144 divisors (see below), whose sum is σ = 364438620. Its totient is φ = 24710400.

The previous prime is 101973953. The next prime is 101973967. The reversal of 101973960 is 69379101.

It is an interprime number because it is at equal distance from previous prime (101973953) and next prime (101973967).

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 4356 = 10098^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101973967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42390 + ... + 44730.

Almost surely, 2^101973960 is an apocalyptic number.

101973960 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 101973960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182219310).

101973960 is an abundant number, since it is smaller than the sum of its proper divisors (262464660).

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

101973960 is a wasteful number, since it uses less digits than its factorization.

101973960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 101973960 is about 10098.2156839711. The cubic root of 101973960 is about 467.1931088502.

The spelling of 101973960 in words is "one hundred one million, nine hundred seventy-three thousand, nine hundred sixty".