101713140 has 72 divisors (see below), whose sum is σ = 309352680. Its totient is φ = 27051264.

The previous prime is 101713093. The next prime is 101713151. The reversal of 101713140 is 41317101.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 100520676 = 1092^2 + 10026^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127222 + ... + 128018.

It is an arithmetic number, because the mean of its divisors is an integer number (4296565).

Almost surely, 2^101713140 is an apocalyptic number.

101713140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101713140 is an abundant number, since it is smaller than the sum of its proper divisors (207639540).

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

101713140 is a wasteful number, since it uses less digits than its factorization.

101713140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101713140 is about 10085.2932530492. The cubic root of 101713140 is about 466.7944536671.

The spelling of 101713140 in words is "one hundred one million, seven hundred thirteen thousand, one hundred forty".