101141456 has 40 divisors (see below), whose sum is σ = 211757280. Its totient is φ = 46521216.

The previous prime is 101141407. The next prime is 101141471. The reversal of 101141456 is 654141101.

It is a happy number.

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, 78191 + ... + 79473.

It is an arithmetic number, because the mean of its divisors is an integer number (5293932).

Almost surely, 2^101141456 is an apocalyptic number.

101141456 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 101141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105878640).

101141456 is an abundant number, since it is smaller than the sum of its proper divisors (110615824).

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

101141456 is a wasteful number, since it uses less digits than its factorization.

101141456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 101141456 is about 10056.9108577137. The cubic root of 101141456 is about 465.9182625401.

Adding to 101141456 its reverse (654141101), we get a palindrome (755282557).

The spelling of 101141456 in words is "one hundred one million, one hundred forty-one thousand, four hundred fifty-six".