101775312 has 40 divisors (see below), whose sum is σ = 292134080. Its totient is φ = 33924960.

The previous prime is 101775307. The next prime is 101775313. The reversal of 101775312 is 213577101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101775313) 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 7 ways as a sum of consecutive naturals, for example, 117364 + ... + 118227.

It is an arithmetic number, because the mean of its divisors is an integer number (7303352).

Almost surely, 2^101775312 is an apocalyptic number.

101775312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101775312 is an abundant number, since it is smaller than the sum of its proper divisors (190358768).

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

101775312 is a wasteful number, since it uses less digits than its factorization.

101775312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235608 (or 235596 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 101775312 is about 10088.3750921543. The cubic root of 101775312 is about 466.8895434253.

The spelling of 101775312 in words is "one hundred one million, seven hundred seventy-five thousand, three hundred twelve".