101826720 has 216 divisors, whose sum is σ = 364550004. Its totient is φ = 26873856.

The previous prime is 101826691. The next prime is 101826721. The reversal of 101826720 is 27628101.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 944784 = 10044^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (101826721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049712 + ... + 1049808.

Almost surely, 2^101826720 is an apocalyptic number.

101826720 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 101826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182275002).

101826720 is an abundant number, since it is smaller than the sum of its proper divisors (262723284).

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

101826720 is an frugal number, since it uses more digits than its factorization.

101826720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101826720 is about 10090.9226535535. The cubic root of 101826720 is about 466.9681408019.

The spelling of 101826720 in words is "one hundred one million, eight hundred twenty-six thousand, seven hundred twenty".