101298688 has 40 divisors (see below), whose sum is σ = 206273628. Its totient is φ = 49680384.

The previous prime is 101298683. The next prime is 101298689. The reversal of 101298688 is 886892101.

It can be written as a sum of positive squares in 2 ways, for example, as 99361024 + 1937664 = 9968^2 + 1392^2 .

It is a super-2 number, since 2×101298688² = 20522848381042688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101298683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25270 + ... + 29002.

Almost surely, 2^101298688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103136814).

101298688 is an abundant number, since it is smaller than the sum of its proper divisors (104974940).

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

101298688 is an frugal number, since it uses more digits than its factorization.

101298688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The square root of 101298688 is about 10064.7249341450. The cubic root of 101298688 is about 466.1595725317.

The spelling of 101298688 in words is "one hundred one million, two hundred ninety-eight thousand, six hundred eighty-eight".