76106142 has 56 divisors (see below), whose sum is σ = 195638256. Its totient is φ = 21741696.

The previous prime is 76106141. The next prime is 76106143. The reversal of 76106142 is 24160167.

76106142 is a `hidden beast` number, since 7 + 610 + 6 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (76106141) and next prime (76106143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76106141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6478 + ... + 13934.

Almost surely, 2^76106142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76106142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97819128).

76106142 is an abundant number, since it is smaller than the sum of its proper divisors (119532114).

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

76106142 is an equidigital number, since it uses as much as digits as its factorization.

76106142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76106142 is about 8723.8834242555. The cubic root of 76106142 is about 423.7794591470.

The spelling of 76106142 in words is "seventy-six million, one hundred six thousand, one hundred forty-two".