101970960 has 480 divisors, whose sum is σ = 427472640. Its totient is φ = 19869696.

The previous prime is 101970907. The next prime is 101970961. The reversal of 101970960 is 69079101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101970961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3516226 + ... + 3516254.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^101970960 is an apocalyptic number.

101970960 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 101970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

101970960 is an abundant number, since it is smaller than the sum of its proper divisors (325501680).

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

101970960 is a wasteful number, since it uses less digits than its factorization.

101970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 101970960 is about 10098.0671417851. The cubic root of 101970960 is about 467.1885273110.

The spelling of 101970960 in words is "one hundred one million, nine hundred seventy thousand, nine hundred sixty".