106298512320 has 1344 divisors, whose sum is σ = 466075385856. Its totient is φ = 19926466560.

The previous prime is 106298512319. The next prime is 106298512349. The reversal of 106298512320 is 23215892601.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×106298512320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 836996097 + ... + 836996223.

Almost surely, 2^106298512320 is an apocalyptic number.

106298512320 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 106298512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233037692928).

106298512320 is an abundant number, since it is smaller than the sum of its proper divisors (359776873536).

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

106298512320 is a wasteful number, since it uses less digits than its factorization.

106298512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 106298512320 in words is "one hundred six billion, two hundred ninety-eight million, five hundred twelve thousand, three hundred twenty".