101632078314 has 48 divisors (see below), whose sum is σ = 237985590024. Its totient is φ = 31160102400.

The previous prime is 101632078259. The next prime is 101632078319. The reversal of 101632078314 is 413870236101.

It is a happy number.

101632078314 is a `hidden beast` number, since 1 + 0 + 1 + 632 + 0 + 7 + 8 + 3 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49298653089 + 52333425225 = 222033^2 + 228765^2 .

It is not an unprimeable number, because it can be changed into a prime (101632078319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707067 + ... + 838574.

Almost surely, 2^101632078314 is an apocalyptic number.

101632078314 is an abundant number, since it is smaller than the sum of its proper divisors (136353511710).

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

101632078314 is a wasteful number, since it uses less digits than its factorization.

101632078314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545943 (or 1545940 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 101632078314 in words is "one hundred one billion, six hundred thirty-two million, seventy-eight thousand, three hundred fourteen".