101350032 has 120 divisors (see below), whose sum is σ = 312292512. Its totient is φ = 28224000.

The previous prime is 101350031. The next prime is 101350037. The reversal of 101350032 is 230053101.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 101349993 and 101350020.

It is not an unprimeable number, because it can be changed into a prime (101350031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95907 + ... + 96957.

Almost surely, 2^101350032 is an apocalyptic number.

101350032 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 101350032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156146256).

101350032 is an abundant number, since it is smaller than the sum of its proper divisors (210942480).

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

101350032 is a wasteful number, since it uses less digits than its factorization.

101350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101350032 is about 10067.2753016891. The cubic root of 101350032 is about 466.2383180546.

The spelling of 101350032 in words is "one hundred one million, three hundred fifty thousand, thirty-two".