101745720 has 160 divisors (see below), whose sum is σ = 353358720. Its totient is φ = 26231040.

The previous prime is 101745719. The next prime is 101745727. The reversal of 101745720 is 27547101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101745727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99934 + ... + 100946.

It is an arithmetic number, because the mean of its divisors is an integer number (2208492).

Almost surely, 2^101745720 is an apocalyptic number.

101745720 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 101745720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176679360).

101745720 is an abundant number, since it is smaller than the sum of its proper divisors (251613000).

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

101745720 is a wasteful number, since it uses less digits than its factorization.

101745720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101745720 is about 10086.9083469614. The cubic root of 101745720 is about 466.8442883945.

The spelling of 101745720 in words is "one hundred one million, seven hundred forty-five thousand, seven hundred twenty".