101727396 has 45 divisors (see below), whose sum is σ = 263572855. Its totient is φ = 33082080.

The previous prime is 101727391. The next prime is 101727397. The reversal of 101727396 is 693727101.

It is a happy number.

The square root of 101727396 is 10086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 18662400 = 9114^2 + 4320^2 .

It is a super-3 number, since 3×101727396³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101727396.

It is not an unprimeable number, because it can be changed into a prime (101727391) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2481136 + ... + 2481176.

Almost surely, 2^101727396 is an apocalyptic number.

101727396 is the 10086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101727396

101727396 is an abundant number, since it is smaller than the sum of its proper divisors (161845459).

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

101727396 is an frugal number, since it uses more digits than its factorization.

101727396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The cubic root of 101727396 is about 466.8162611112.

Multiplying 101727396 by its sum of digits (36), we get a 4-th power (3662186256 = 246⁴).

101727396 divided by its sum of digits (36) gives a 4-th power (2825761 = 41⁴).

Multiplying 101727396 by its product of nonzero digits (15876), we get a square (1615024138896 = 1270836²).

The spelling of 101727396 in words is "one hundred one million, seven hundred twenty-seven thousand, three hundred ninety-six".