101418560 has 56 divisors (see below), whose sum is σ = 242361720. Its totient is φ = 40423424.

The previous prime is 101418557. The next prime is 101418563. The reversal of 101418560 is 65814101.

It is an interprime number because it is at equal distance from previous prime (101418557) and next prime (101418563).

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 100320256 = 1048^2 + 10016^2 .

It is not an unprimeable number, because it can be changed into a prime (101418563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177956 + ... + 178524.

Almost surely, 2^101418560 is an apocalyptic number.

101418560 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 101418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121180860).

101418560 is an abundant number, since it is smaller than the sum of its proper divisors (140943160).

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

101418560 is an equidigital number, since it uses as much as digits as its factorization.

101418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 101418560 is about 10070.6782293945. The cubic root of 101418560 is about 466.3433769954.

The spelling of 101418560 in words is "one hundred one million, four hundred eighteen thousand, five hundred sixty".