101748560 has 40 divisors (see below), whose sum is σ = 238101576. Its totient is φ = 40435200.

The previous prime is 101748551. The next prime is 101748583. The reversal of 101748560 is 65847101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32126224 + 69622336 = 5668^2 + 8344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101748560³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8510 + ... + 16610.

Almost surely, 2^101748560 is an apocalyptic number.

101748560 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 101748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119050788).

101748560 is an abundant number, since it is smaller than the sum of its proper divisors (136353016).

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

101748560 is a wasteful number, since it uses less digits than its factorization.

101748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 101748560 is about 10087.0491225135. The cubic root of 101748560 is about 466.8486319857.

The spelling of 101748560 in words is "one hundred one million, seven hundred forty-eight thousand, five hundred sixty".