101132352 has 84 divisors (see below), whose sum is σ = 291295836. Its totient is φ = 33546240.

The previous prime is 101132347. The next prime is 101132377. The reversal of 101132352 is 253231101.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 72999936 = 5304^2 + 8544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193852 + ... + 194372.

Almost surely, 2^101132352 is an apocalyptic number.

101132352 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 101132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145647918).

101132352 is an abundant number, since it is smaller than the sum of its proper divisors (190163484).

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

101132352 is a wasteful number, since it uses less digits than its factorization.

101132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101132352 is about 10056.4582234502. The cubic root of 101132352 is about 465.9042826243.

Adding to 101132352 its reverse (253231101), we get a palindrome (354363453).

The spelling of 101132352 in words is "one hundred one million, one hundred thirty-two thousand, three hundred fifty-two".