101272600 has 96 divisors (see below), whose sum is σ = 276701040. Its totient is φ = 33984000.

The previous prime is 101272597. The next prime is 101272601. The reversal of 101272600 is 6272101.

It is a super-2 number, since 2×101272600² = 20512279021520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101272601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26830 + ... + 30370.

Almost surely, 2^101272600 is an apocalyptic number.

101272600 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 101272600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138350520).

101272600 is an abundant number, since it is smaller than the sum of its proper divisors (175428440).

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

101272600 is a wasteful number, since it uses less digits than its factorization.

101272600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 101272600 is about 10063.4288391184. The cubic root of 101272600 is about 466.1195515624.

The spelling of 101272600 in words is "one hundred one million, two hundred seventy-two thousand, six hundred".