101093472 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 31988736.

The previous prime is 101093459. The next prime is 101093479. The reversal of 101093472 is 274390101.

101093472 is a `hidden beast` number, since 101 + 0 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101093479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564679 + ... + 564857.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^101093472 is an apocalyptic number.

101093472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

101093472 is an abundant number, since it is smaller than the sum of its proper divisors (201412368).

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

101093472 is a wasteful number, since it uses less digits than its factorization.

101093472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101093472 is about 10054.5249514833. The cubic root of 101093472 is about 465.8445698486.

The spelling of 101093472 in words is "one hundred one million, ninety-three thousand, four hundred seventy-two".