77135744106 has 48 divisors (see below), whose sum is σ = 169102631880. Its totient is φ = 25408373760.

The previous prime is 77135744099. The next prime is 77135744113. The reversal of 77135744106 is 60144753177.

77135744106 is a `hidden beast` number, since 7 + 71 + 3 + 574 + 4 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (77135744099) and next prime (77135744113).

It can be written as a sum of positive squares in 4 ways, for example, as 26490492081 + 50645252025 = 162759^2 + 225045^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968386 + ... + 2994258.

Almost surely, 2^77135744106 is an apocalyptic number.

77135744106 is an abundant number, since it is smaller than the sum of its proper divisors (91966887774).

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

77135744106 is a wasteful number, since it uses less digits than its factorization.

77135744106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27831 (or 27828 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77135744106 in words is "seventy-seven billion, one hundred thirty-five million, seven hundred forty-four thousand, one hundred six".