101034032 has 60 divisors (see below), whose sum is σ = 224621040. Its totient is φ = 43908480.

The previous prime is 101034029. The next prime is 101034041. The reversal of 101034032 is 230430101.

It is a junction number, because it is equal to n+sod(n) for n = 101033998 and 101034016.

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, 43394 + ... + 45662.

It is an arithmetic number, because the mean of its divisors is an integer number (3743684).

Almost surely, 2^101034032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112310520).

101034032 is an abundant number, since it is smaller than the sum of its proper divisors (123587008).

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

101034032 is a wasteful number, since it uses less digits than its factorization.

101034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101034032 is about 10051.5686338004. The cubic root of 101034032 is about 465.7532509619.

Adding to 101034032 its reverse (230430101), we get a palindrome (331464133).

The spelling of 101034032 in words is "one hundred one million, thirty-four thousand, thirty-two".