101896300800 has 1296 divisors, whose sum is σ = 449164584960. Its totient is φ = 21518991360.

The previous prime is 101896300729. The next prime is 101896300843. The reversal of 101896300800 is 8003698101.

101896300800 is a `hidden beast` number, since 1 + 0 + 18 + 9 + 630 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×101896300800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360057459 + ... + 360057741.

Almost surely, 2^101896300800 is an apocalyptic number.

101896300800 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 101896300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224582292480).

101896300800 is an abundant number, since it is smaller than the sum of its proper divisors (347268284160).

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

101896300800 is a wasteful number, since it uses less digits than its factorization.

101896300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 101896300800 its reverse (8003698101), we get a palindrome (109899998901).

The spelling of 101896300800 in words is "one hundred one billion, eight hundred ninety-six million, three hundred thousand, eight hundred".