101622672 has 30 divisors (see below), whose sum is σ = 284402742. Its totient is φ = 33874176.

The previous prime is 101622629. The next prime is 101622701. The reversal of 101622672 is 276226101.

It can be written as a sum of positive squares in only one way, i.e., 79495056 + 22127616 = 8916^2 + 4704^2 .

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 5 ways as a sum of consecutive naturals, for example, 352713 + ... + 353000.

Almost surely, 2^101622672 is an apocalyptic number.

101622672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101622672 is an abundant number, since it is smaller than the sum of its proper divisors (182780070).

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

101622672 is a wasteful number, since it uses less digits than its factorization.

101622672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705727 (or 705718 counting only the distinct ones).

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

The square root of 101622672 is about 10080.8071105443. The cubic root of 101622672 is about 466.6560169905.

Adding to 101622672 its reverse (276226101), we get a palindrome (377848773).

The spelling of 101622672 in words is "one hundred one million, six hundred twenty-two thousand, six hundred seventy-two".