101505968 has 20 divisors (see below), whose sum is σ = 197879448. Its totient is φ = 50440320.

The previous prime is 101505967. The next prime is 101505983. The reversal of 101505968 is 869505101.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101505967) 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 3 ways as a sum of consecutive naturals, for example, 16853 + ... + 22068.

Almost surely, 2^101505968 is an apocalyptic number.

It is an amenable number.

101505968 is a deficient number, since it is larger than the sum of its proper divisors (96373480).

101505968 is a wasteful number, since it uses less digits than its factorization.

101505968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39092 (or 39086 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 101505968 is about 10075.0170223181. The cubic root of 101505968 is about 466.4773118398.

The spelling of 101505968 in words is "one hundred one million, five hundred five thousand, nine hundred sixty-eight".