101724143130 has 144 divisors (see below), whose sum is σ = 281022323400. Its totient is φ = 25525041408.

The previous prime is 101724143093. The next prime is 101724143141. The reversal of 101724143130 is 31341427101.

101724143130 is a `hidden beast` number, since 101 + 7 + 241 + 4 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23492612529 + 78231530601 = 153273^2 + 279699^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101724143094 and 101724143103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4830504 + ... + 4851516.

Almost surely, 2^101724143130 is an apocalyptic number.

101724143130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101724143130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140511161700).

101724143130 is an abundant number, since it is smaller than the sum of its proper divisors (179298180270).

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

101724143130 is a wasteful number, since it uses less digits than its factorization.

101724143130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21213 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 101724143130 in words is "one hundred one billion, seven hundred twenty-four million, one hundred forty-three thousand, one hundred thirty".