101296800 has 216 divisors, whose sum is σ = 389975040. Its totient is φ = 24537600.

The previous prime is 101296763. The next prime is 101296801. The reversal of 101296800 is 8692101.

It is a super-2 number, since 2×101296800² = 20522083380480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101296801) 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, 78561 + ... + 79839.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^101296800 is an apocalyptic number.

101296800 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 101296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

101296800 is an abundant number, since it is smaller than the sum of its proper divisors (288678240).

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

101296800 is a wasteful number, since it uses less digits than its factorization.

101296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101296800 is about 10064.6311407821. The cubic root of 101296800 is about 466.1566764273.

The spelling of 101296800 in words is "one hundred one million, two hundred ninety-six thousand, eight hundred".