101491872 has 48 divisors (see below), whose sum is σ = 266988960. Its totient is φ = 33757952.

The previous prime is 101491849. The next prime is 101491877. The reversal of 101491872 is 278194101.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (101491877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61879 + ... + 63497.

It is an arithmetic number, because the mean of its divisors is an integer number (5562270).

Almost surely, 2^101491872 is an apocalyptic number.

101491872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101491872 is an abundant number, since it is smaller than the sum of its proper divisors (165497088).

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

101491872 is a wasteful number, since it uses less digits than its factorization.

101491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 101491872 is about 10074.3174458620. The cubic root of 101491872 is about 466.4557178104.

It can be divided in two parts, 10149 and 1872, that added together give a palindrome (12021).

The spelling of 101491872 in words is "one hundred one million, four hundred ninety-one thousand, eight hundred seventy-two".