101129472 has 90 divisors (see below), whose sum is σ = 301611618. Its totient is φ = 33702912.

The previous prime is 101129453. The next prime is 101129503. The reversal of 101129472 is 274921101.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 23970816 = 8784^2 + 4896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18298 + ... + 23174.

Almost surely, 2^101129472 is an apocalyptic number.

101129472 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 101129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150805809).

101129472 is an abundant number, since it is smaller than the sum of its proper divisors (200482146).

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

101129472 is an frugal number, since it uses more digits than its factorization.

101129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101129472 is about 10056.3150308649. The cubic root of 101129472 is about 465.8998599806.

The spelling of 101129472 in words is "one hundred one million, one hundred twenty-nine thousand, four hundred seventy-two".