153768105 has 32 divisors (see below), whose sum is σ = 278536320. Its totient is φ = 80458560.

The previous prime is 153768103. The next prime is 153768113. The reversal of 153768105 is 501867351.

It is not a de Polignac number, because 153768105 - 2¹ = 153768103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153768105.

It is not an unprimeable number, because it can be changed into a prime (153768103) 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 31 ways as a sum of consecutive naturals, for example, 3591 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (8704260).

Almost surely, 2^153768105 is an apocalyptic number.

153768105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153768105 is a deficient number, since it is larger than the sum of its proper divisors (124768215).

153768105 is a wasteful number, since it uses less digits than its factorization.

153768105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21558 (or 21552 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 153768105 is about 12400.3268102095. The cubic root of 153768105 is about 535.7416621438.

The spelling of 153768105 in words is "one hundred fifty-three million, seven hundred sixty-eight thousand, one hundred five".