101606110525 has 12 divisors (see below), whose sum is σ = 128368778292. Its totient is φ = 79751210240.

The previous prime is 101606110519. The next prime is 101606110549. The reversal of 101606110525 is 525011606101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 267028281 + 101339082244 = 16341^2 + 318338^2 .

It is not a de Polignac number, because 101606110525 - 2³⁵ = 67246372157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101606110493 and 101606110502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38340604 + ... + 38343253.

It is an arithmetic number, because the mean of its divisors is an integer number (10697398191).

Almost surely, 2^101606110525 is an apocalyptic number.

It is an amenable number.

101606110525 is a deficient number, since it is larger than the sum of its proper divisors (26762667767).

101606110525 is an equidigital number, since it uses as much as digits as its factorization.

101606110525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76683920 (or 76683915 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 101606110525 its reverse (525011606101), we get a palindrome (626617716626).

The spelling of 101606110525 in words is "one hundred one billion, six hundred six million, one hundred ten thousand, five hundred twenty-five".