101141460 has 168 divisors, whose sum is σ = 364310016. Its totient is φ = 23094720.

The previous prime is 101141407. The next prime is 101141471. The reversal of 101141460 is 64141101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101565 + ... + 102555.

It is an arithmetic number, because the mean of its divisors is an integer number (2168512).

Almost surely, 2^101141460 is an apocalyptic number.

101141460 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 101141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182155008).

101141460 is an abundant number, since it is smaller than the sum of its proper divisors (263168556).

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

101141460 is an equidigital number, since it uses as much as digits as its factorization.

101141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101141460 is about 10056.9110565819. The cubic root of 101141460 is about 465.9182686823.

Adding to 101141460 its reverse (64141101), we get a palindrome (165282561).

The spelling of 101141460 in words is "one hundred one million, one hundred forty-one thousand, four hundred sixty".