101608538514 has 16 divisors (see below), whose sum is σ = 232248088128. Its totient is φ = 29031010992.

The previous prime is 101608538509. The next prime is 101608538533. The reversal of 101608538514 is 415835806101.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 2419250917 = 101608538514 / (1 + 0 + 1 + 6 + 0 + 8 + 5 + 3 + 8 + 5 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209625417 + ... + 1209625500.

It is an arithmetic number, because the mean of its divisors is an integer number (14515505508).

Almost surely, 2^101608538514 is an apocalyptic number.

101608538514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101608538514 is an abundant number, since it is smaller than the sum of its proper divisors (130639549614).

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

101608538514 is a wasteful number, since it uses less digits than its factorization.

101608538514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419250929.

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 101608538514 in words is "one hundred one billion, six hundred eight million, five hundred thirty-eight thousand, five hundred fourteen".