101427072 has 32 divisors (see below), whose sum is σ = 269416680. Its totient is φ = 33808896.

The previous prime is 101427061. The next prime is 101427091. The reversal of 101427072 is 270724101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 131683 + ... + 132450.

Almost surely, 2^101427072 is an apocalyptic number.

101427072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101427072 is an abundant number, since it is smaller than the sum of its proper divisors (167989608).

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

101427072 is an equidigital number, since it uses as much as digits as its factorization.

101427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264150 (or 264138 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 101427072 is about 10071.1008335733. The cubic root of 101427072 is about 466.3564232721.

The spelling of 101427072 in words is "one hundred one million, four hundred twenty-seven thousand, seventy-two".