106302235200 has 336 divisors, whose sum is σ = 405345960960. Its totient is φ = 23885383680.

The previous prime is 106302235187. The next prime is 106302235201. The reversal of 106302235200 is 2532203601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106302235200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106302235201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955589 + ... + 2009211.

Almost surely, 2^106302235200 is an apocalyptic number.

106302235200 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 106302235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202672980480).

106302235200 is an abundant number, since it is smaller than the sum of its proper divisors (299043725760).

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

106302235200 is a wasteful number, since it uses less digits than its factorization.

106302235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53714 (or 53699 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 106302235200 its reverse (2532203601), we get a palindrome (108834438801).

The spelling of 106302235200 in words is "one hundred six billion, three hundred two million, two hundred thirty-five thousand, two hundred".