101642472 has 64 divisors (see below), whose sum is σ = 283593600. Its totient is φ = 33730560.

The previous prime is 101642449. The next prime is 101642491. The reversal of 101642472 is 274246101.

101642472 is a `hidden beast` number, since 10 + 1 + 642 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×101642472² = 20662384228541568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 54597 + ... + 56427.

It is an arithmetic number, because the mean of its divisors is an integer number (4431150).

Almost surely, 2^101642472 is an apocalyptic number.

101642472 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 101642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141796800).

101642472 is an abundant number, since it is smaller than the sum of its proper divisors (181951128).

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

101642472 is a wasteful number, since it uses less digits than its factorization.

101642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 101642472 is about 10081.7891269358. The cubic root of 101642472 is about 466.6863225281.

Adding to 101642472 its reverse (274246101), we get a palindrome (375888573).

The spelling of 101642472 in words is "one hundred one million, six hundred forty-two thousand, four hundred seventy-two".