101456 has 20 divisors (see below), whose sum is σ = 208692. Its totient is φ = 47616.

The previous prime is 101449. The next prime is 101467. The reversal of 101456 is 654101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 33856 = 260^2 + 184^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

101456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 458.

2¹⁰¹⁴⁵⁶ is an apocalyptic number.

101456 is a gapful number since it is divisible by the number (16) 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 101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104346).

101456 is an abundant number, since it is smaller than the sum of its proper divisors (107236).

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

101456 is a wasteful number, since it uses less digits than its factorization.

101456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101456 is about 318.5215848259. The cubic root of 101456 is about 46.6400755540.

Adding to 101456 its reverse (654101), we get a palindrome (755557).

It can be divided in two parts, 101 and 456, that multiplied together give a triangular number (46056 = T₃₀₃).

The spelling of 101456 in words is "one hundred one thousand, four hundred fifty-six".