101601603 has 12 divisors (see below), whose sum is σ = 153138960. Its totient is φ = 64789296.

The previous prime is 101601553. The next prime is 101601613. The reversal of 101601603 is 306106101.

101601603 is a `hidden beast` number, since 1 + 0 + 1 + 60 + 1 + 603 = 666.

It is not a de Polignac number, because 101601603 - 2¹⁴ = 101585219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101601613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245208 + ... + 245621.

It is an arithmetic number, because the mean of its divisors is an integer number (12761580).

Almost surely, 2^101601603 is an apocalyptic number.

101601603 is a deficient number, since it is larger than the sum of its proper divisors (51537357).

101601603 is a wasteful number, since it uses less digits than its factorization.

101601603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490858 (or 490855 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101601603 is about 10079.7620507629. The cubic root of 101601603 is about 466.6237648202.

Adding to 101601603 its reverse (306106101), we get a palindrome (407707704).

It can be divided in two parts, 10 and 1601603, that added together give a cube (1601613 = 117³).

The spelling of 101601603 in words is "one hundred one million, six hundred one thousand, six hundred three".