101640672 has 72 divisors (see below), whose sum is σ = 330338736. Its totient is φ = 29039616.

The previous prime is 101640659. The next prime is 101640713. The reversal of 101640672 is 276046101.

101640672 is a `hidden beast` number, since 10 + 1 + 640 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×101640672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23193 + ... + 27224.

It is an arithmetic number, because the mean of its divisors is an integer number (4588038).

Almost surely, 2^101640672 is an apocalyptic number.

101640672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101640672 is an abundant number, since it is smaller than the sum of its proper divisors (228698064).

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

101640672 is a wasteful number, since it uses less digits than its factorization.

101640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50440 (or 50429 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101640672 is about 10081.6998566710. The cubic root of 101640672 is about 466.6835676419.

Adding to 101640672 its reverse (276046101), we get a palindrome (377686773).

The spelling of 101640672 in words is "one hundred one million, six hundred forty thousand, six hundred seventy-two".