153314106 has 64 divisors (see below), whose sum is σ = 344013696. Its totient is φ = 45158400.

The previous prime is 153314101. The next prime is 153314131. The reversal of 153314106 is 601413351.

It is not an unprimeable number, because it can be changed into a prime (153314101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454770 + ... + 455106.

It is an arithmetic number, because the mean of its divisors is an integer number (5375214).

Almost surely, 2^153314106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153314106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172006848).

153314106 is an abundant number, since it is smaller than the sum of its proper divisors (190699590).

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

153314106 is a wasteful number, since it uses less digits than its factorization.

153314106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 153314106 is about 12382.0073493759. The cubic root of 153314106 is about 535.2138848420.

Adding to 153314106 its reverse (601413351), we get a palindrome (754727457).

The spelling of 153314106 in words is "one hundred fifty-three million, three hundred fourteen thousand, one hundred six".