101007032 has 24 divisors (see below), whose sum is σ = 220309560. Its totient is φ = 43288560.

The previous prime is 101007031. The next prime is 101007041. The reversal of 101007032 is 230700101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101006998 and 101007016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128444 + ... + 129227.

It is an arithmetic number, because the mean of its divisors is an integer number (9179565).

Almost surely, 2^101007032 is an apocalyptic number.

It is an amenable number.

101007032 is an abundant number, since it is smaller than the sum of its proper divisors (119302528).

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

101007032 is a wasteful number, since it uses less digits than its factorization.

101007032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257691 (or 257680 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 101007032 is about 10050.2254701076. The cubic root of 101007032 is about 465.7117584803.

Adding to 101007032 its reverse (230700101), we get a palindrome (331707133).

The spelling of 101007032 in words is "one hundred one million, seven thousand, thirty-two".