101952252 has 36 divisors (see below), whose sum is σ = 271278280. Its totient is φ = 32195232.

The previous prime is 101952251. The next prime is 101952287. The reversal of 101952252 is 252259101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101952251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73843 + ... + 75210.

Almost surely, 2^101952252 is an apocalyptic number.

101952252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101952252 is an abundant number, since it is smaller than the sum of its proper divisors (169326028).

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

101952252 is a wasteful number, since it uses less digits than its factorization.

101952252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149082 (or 149077 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101952252 is about 10097.1407834099. The cubic root of 101952252 is about 467.1599548052.

The spelling of 101952252 in words is "one hundred one million, nine hundred fifty-two thousand, two hundred fifty-two".