10075077 has 8 divisors (see below), whose sum is σ = 14926080. Its totient is φ = 6716700.

The previous prime is 10075057. The next prime is 10075097. The reversal of 10075077 is 77057001.

It is an interprime number because it is at equal distance from previous prime (10075057) and next prime (10075097).

It is not a de Polignac number, because 10075077 - 2¹¹ = 10073029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 373151 = 10075077 / (1 + 0 + 0 + 7 + 5 + 0 + 7 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 10075077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186549 + ... + 186602.

It is an arithmetic number, because the mean of its divisors is an integer number (1865760).

Almost surely, 2^10075077 is an apocalyptic number.

It is an amenable number.

10075077 is a deficient number, since it is larger than the sum of its proper divisors (4851003).

10075077 is an equidigital number, since it uses as much as digits as its factorization.

10075077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373160 (or 373154 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 10075077 is about 3174.1261789664. The cubic root of 10075077 is about 215.9812869591.

It can be divided in two parts, 1007 and 5077, that added together give a square (6084 = 78²).

The spelling of 10075077 in words is "ten million, seventy-five thousand, seventy-seven".