10077032 has 16 divisors (see below), whose sum is σ = 21593760. Its totient is φ = 4318704.

The previous prime is 10077031. The next prime is 10077037. The reversal of 10077032 is 23077001.

It is a junction number, because it is equal to n+sod(n) for n = 10076995 and 10077013.

It is not an unprimeable number, because it can be changed into a prime (10077031) 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 3 ways as a sum of consecutive naturals, for example, 89918 + ... + 90029.

It is an arithmetic number, because the mean of its divisors is an integer number (1349610).

Almost surely, 2^10077032 is an apocalyptic number.

It is an amenable number.

10077032 is an abundant number, since it is smaller than the sum of its proper divisors (11516728).

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

10077032 is a wasteful number, since it uses less digits than its factorization.

10077032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179960 (or 179956 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 10077032 is about 3174.4341228005. The cubic root of 10077032 is about 215.9952559543.

The spelling of 10077032 in words is "ten million, seventy-seven thousand, thirty-two".