106252282752 has 512 divisors, whose sum is σ = 382405017600. Its totient is φ = 25297920000.

The previous prime is 106252282739. The next prime is 106252282753. The reversal of 106252282752 is 257282252601.

It is a super-2 number, since 2×106252282752² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106252282753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17412502 + ... + 17418602.

It is an arithmetic number, because the mean of its divisors is an integer number (746884800).

Almost surely, 2^106252282752 is an apocalyptic number.

106252282752 is a gapful number since it is divisible by the number (12) 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 106252282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191202508800).

106252282752 is an abundant number, since it is smaller than the sum of its proper divisors (276152734848).

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

106252282752 is a wasteful number, since it uses less digits than its factorization.

106252282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 106252282752 in words is "one hundred six billion, two hundred fifty-two million, two hundred eighty-two thousand, seven hundred fifty-two".