106734298752 has 160 divisors (see below), whose sum is σ = 318171823200. Its totient is φ = 35518487040.

The previous prime is 106734298667. The next prime is 106734298753. The reversal of 106734298752 is 257892437601.

It is a happy number.

It is a super-2 number, since 2×106734298752² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106734298753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6409477 + ... + 6426107.

It is an arithmetic number, because the mean of its divisors is an integer number (1988573895).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106734298752 = 213468597504, but 3⋅106734298752 = 320202896256 is not.

Almost surely, 2^106734298752 is an apocalyptic number.

106734298752 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 106734298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159085911600).

106734298752 is an abundant number, since it is smaller than the sum of its proper divisors (211437524448).

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

106734298752 is an equidigital number, since it uses as much as digits as its factorization.

106734298752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276 (or 17255 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 106734298752 in words is "one hundred six billion, seven hundred thirty-four million, two hundred ninety-eight thousand, seven hundred fifty-two".