101952768 has 36 divisors (see below), whose sum is σ = 271345088. Its totient is φ = 33984000.

The previous prime is 101952709. The next prime is 101952779. The reversal of 101952768 is 867259101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65608 + ... + 67143.

Almost surely, 2^101952768 is an apocalyptic number.

It is an amenable number.

101952768 is an abundant number, since it is smaller than the sum of its proper divisors (169392320).

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

101952768 is an equidigital number, since it uses as much as digits as its factorization.

101952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132770 (or 132756 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 101952768 is about 10097.1663351655. The cubic root of 101952768 is about 467.1607429328.

The spelling of 101952768 in words is "one hundred one million, nine hundred fifty-two thousand, seven hundred sixty-eight".