101612560 has 80 divisors (see below), whose sum is σ = 271268352. Its totient is φ = 34675200.

The previous prime is 101612557. The next prime is 101612593. The reversal of 101612560 is 65216101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101612560² = 20650224699507200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 235545 + ... + 235975.

Almost surely, 2^101612560 is an apocalyptic number.

101612560 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 101612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135634176).

101612560 is an abundant number, since it is smaller than the sum of its proper divisors (169655792).

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

101612560 is a wasteful number, since it uses less digits than its factorization.

101612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 101612560 is about 10080.3055509245. The cubic root of 101612560 is about 466.6405382196.

Adding to 101612560 its reverse (65216101), we get a palindrome (166828661).

It can be divided in two parts, 10161 and 2560, that added together give a palindrome (12721).

The spelling of 101612560 in words is "one hundred one million, six hundred twelve thousand, five hundred sixty".