106302445260 has 192 divisors, whose sum is σ = 342287769600. Its totient is φ = 24378796800.

The previous prime is 106302445259. The next prime is 106302445273. The reversal of 106302445260 is 62544203601.

It is a super-2 number, since 2×106302445260² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9261325 + ... + 9272795.

It is an arithmetic number, because the mean of its divisors is an integer number (1782748800).

Almost surely, 2^106302445260 is an apocalyptic number.

106302445260 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 106302445260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171143884800).

106302445260 is an abundant number, since it is smaller than the sum of its proper divisors (235985324340).

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

106302445260 is a wasteful number, since it uses less digits than its factorization.

106302445260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 106302445260 its reverse (62544203601), we get a palindrome (168846648861).

The spelling of 106302445260 in words is "one hundred six billion, three hundred two million, four hundred forty-five thousand, two hundred sixty".