101748960 has 144 divisors (see below), whose sum is σ = 360215856. Its totient is φ = 27122688.

The previous prime is 101748931. The next prime is 101748989. The reversal of 101748960 is 69847101.

It is an interprime number because it is at equal distance from previous prime (101748931) and next prime (101748989).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×101748960² = 20705701722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37572 + ... + 40188.

It is an arithmetic number, because the mean of its divisors is an integer number (2501499).

Almost surely, 2^101748960 is an apocalyptic number.

101748960 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 101748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180107928).

101748960 is an abundant number, since it is smaller than the sum of its proper divisors (258466896).

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

101748960 is an equidigital number, since it uses as much as digits as its factorization.

101748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101748960 is about 10087.0689498982. The cubic root of 101748960 is about 466.8492437526.

The spelling of 101748960 in words is "one hundred one million, seven hundred forty-eight thousand, nine hundred sixty".