10077516 has 36 divisors (see below), whose sum is σ = 25650352. Its totient is φ = 3335904.

The previous prime is 10077493. The next prime is 10077517. The reversal of 10077516 is 61577001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 10077516.

It is not an unprimeable number, because it can be changed into a prime (10077517) 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 11 ways as a sum of consecutive naturals, for example, 4761 + ... + 6543.

Almost surely, 2^10077516 is an apocalyptic number.

It is an amenable number.

10077516 is an abundant number, since it is smaller than the sum of its proper divisors (15572836).

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

10077516 is a wasteful number, since it uses less digits than its factorization.

10077516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 10077516 is about 3174.5103559447. The cubic root of 10077516 is about 215.9987139841.

The spelling of 10077516 in words is "ten million, seventy-seven thousand, five hundred sixteen".