101745252 has 72 divisors (see below), whose sum is σ = 295853376. Its totient is φ = 28880064.

The previous prime is 101745239. The next prime is 101745257. The reversal of 101745252 is 252547101.

It is not an unprimeable number, because it can be changed into a prime (101745257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39838 + ... + 42314.

Almost surely, 2^101745252 is an apocalyptic number.

101745252 is a gapful number since it is divisible by the number (12) 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 101745252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147926688).

101745252 is an abundant number, since it is smaller than the sum of its proper divisors (194108124).

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

101745252 is a wasteful number, since it uses less digits than its factorization.

101745252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 101745252 is about 10086.8851485481. The cubic root of 101745252 is about 466.8435726118.

The spelling of 101745252 in words is "one hundred one million, seven hundred forty-five thousand, two hundred fifty-two".