101920560 has 320 divisors, whose sum is σ = 396165120. Its totient is φ = 21150720.

The previous prime is 101920549. The next prime is 101920573. The reversal of 101920560 is 65029101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101920560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989469 + ... + 989571.

It is an arithmetic number, because the mean of its divisors is an integer number (1238016).

Almost surely, 2^101920560 is an apocalyptic number.

101920560 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 101920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198082560).

101920560 is an abundant number, since it is smaller than the sum of its proper divisors (294244560).

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

101920560 is a wasteful number, since it uses less digits than its factorization.

101920560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 101920560 is about 10095.5713062709. The cubic root of 101920560 is about 467.1115440138. Note that the first 3 decimals are identical.

Adding to 101920560 its reverse (65029101), we get a palindrome (166949661).

The spelling of 101920560 in words is "one hundred one million, nine hundred twenty thousand, five hundred sixty".