10077881 has 16 divisors (see below), whose sum is σ = 11397888. Its totient is φ = 8832000.

The previous prime is 10077863. The next prime is 10077911. The reversal of 10077881 is 18877001.

It is a cyclic number.

It is not a de Polignac number, because 10077881 - 2¹⁸ = 9815737 is a prime.

It is a super-2 number, since 2×10077881² = 203127370900322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10074881) 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 15 ways as a sum of consecutive naturals, for example, 52121 + ... + 52313.

It is an arithmetic number, because the mean of its divisors is an integer number (712368).

Almost surely, 2^10077881 is an apocalyptic number.

10077881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10077881 is a deficient number, since it is larger than the sum of its proper divisors (1320007).

10077881 is a wasteful number, since it uses less digits than its factorization.

10077881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 10077881 is about 3174.5678446050. The cubic root of 10077881 is about 216.0013217226.

It can be divided in two parts, 1007 and 7881, that added together give a palindrome (8888).

The spelling of 10077881 in words is "ten million, seventy-seven thousand, eight hundred eighty-one".