101857140 has 144 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 21162240.

The previous prime is 101857123. The next prime is 101857159. The reversal of 101857140 is 41758101.

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 47 ways as a sum of consecutive naturals, for example, 10186 + ... + 17534.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2^101857140 is an apocalyptic number.

101857140 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 101857140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

101857140 is an abundant number, since it is smaller than the sum of its proper divisors (283400460).

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

101857140 is a wasteful number, since it uses less digits than its factorization.

101857140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 101857140 is about 10092.4298362684. The cubic root of 101857140 is about 467.0146372961.

The spelling of 101857140 in words is "one hundred one million, eight hundred fifty-seven thousand, one hundred forty".