10077132 has 36 divisors (see below), whose sum is σ = 25466280. Its totient is φ = 3100032.

The previous prime is 10077131. The next prime is 10077143. The reversal of 10077132 is 23177001.

10077132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10077099 and 10077108.

It is not an unprimeable number, because it can be changed into a prime (10077131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457 + ... + 4512.

Almost surely, 2^10077132 is an apocalyptic number.

10077132 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 10077132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733140).

10077132 is an abundant number, since it is smaller than the sum of its proper divisors (15389148).

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

10077132 is a wasteful number, since it uses less digits than its factorization.

10077132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10077132 is about 3174.4498736001. The cubic root of 10077132 is about 215.9959704324.

The spelling of 10077132 in words is "ten million, seventy-seven thousand, one hundred thirty-two".