101606427 has 16 divisors (see below), whose sum is σ = 162107680. Its totient is φ = 62526816.

The previous prime is 101606413. The next prime is 101606429. The reversal of 101606427 is 724606101.

101606427 is a `hidden beast` number, since 1 + 0 + 16 + 0 + 642 + 7 = 666.

It is not a de Polignac number, because 101606427 - 2⁸ = 101606171 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101606427.

It is not an unprimeable number, because it can be changed into a prime (101606429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144388 + ... + 145089.

It is an arithmetic number, because the mean of its divisors is an integer number (10131730).

Almost surely, 2^101606427 is an apocalyptic number.

101606427 is a deficient number, since it is larger than the sum of its proper divisors (60501253).

101606427 is a wasteful number, since it uses less digits than its factorization.

101606427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289499 (or 289493 counting only the distinct ones).

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

The square root of 101606427 is about 10080.0013392856. The cubic root of 101606427 is about 466.6311497346.

Subtracting from 101606427 its sum of digits (27), we obtain a square (101606400 = 10080²).

The spelling of 101606427 in words is "one hundred one million, six hundred six thousand, four hundred twenty-seven".