106272400 has 120 divisors (see below), whose sum is σ = 278982144. Its totient is φ = 38668800.

The previous prime is 106272349. The next prime is 106272401. The reversal of 106272400 is 4272601.

It is a super-2 number, since 2×106272400² = 22587646003520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106272401) 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, 556305 + ... + 556495.

Almost surely, 2^106272400 is an apocalyptic number.

106272400 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 106272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

106272400 is an abundant number, since it is smaller than the sum of its proper divisors (172709744).

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

106272400 is a wasteful number, since it uses less digits than its factorization.

106272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 106272400 is about 10308.8505663823. The cubic root of 106272400 is about 473.6674006597.

The spelling of 106272400 in words is "one hundred six million, two hundred seventy-two thousand, four hundred".