101472600 has 96 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 26832000.

The previous prime is 101472593. The next prime is 101472601. The reversal of 101472600 is 6274101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101472601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77955 + ... + 79245.

It is an arithmetic number, because the mean of its divisors is an integer number (3304290).

Almost surely, 2^101472600 is an apocalyptic number.

101472600 is a gapful number since it is divisible by the number (10) 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 101472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605920).

101472600 is an abundant number, since it is smaller than the sum of its proper divisors (215739240).

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

101472600 is a wasteful number, since it uses less digits than its factorization.

101472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 101472600 is about 10073.3609088526. The cubic root of 101472600 is about 466.4261912960.

It can be divided in two parts, 1014 and 72600, that multiplied together give a square (73616400 = 8580²).

The spelling of 101472600 in words is "one hundred one million, four hundred seventy-two thousand, six hundred".