101429252 has 12 divisors (see below), whose sum is σ = 179072796. Its totient is φ = 50265600.

The previous prime is 101429233. The next prime is 101429257. The reversal of 101429252 is 252924101.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 96157636 = 2296^2 + 9806^2 .

It is a super-2 number, since 2×101429252² = 20575786322559008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101429257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111749 + ... + 112652.

It is an arithmetic number, because the mean of its divisors is an integer number (14922733).

Almost surely, 2^101429252 is an apocalyptic number.

It is an amenable number.

101429252 is a deficient number, since it is larger than the sum of its proper divisors (77643544).

101429252 is a wasteful number, since it uses less digits than its factorization.

101429252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224518 (or 224516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101429252 is about 10071.2090634640. The cubic root of 101429252 is about 466.3597644239.

The spelling of 101429252 in words is "one hundred one million, four hundred twenty-nine thousand, two hundred fifty-two".