106246268013312 has 504 divisors, whose sum is σ = 365222211065600. Its totient is φ = 30203459573760.

The previous prime is 106246268013299. The next prime is 106246268013313. The reversal of 106246268013312 is 213310862642601.

106246268013312 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 626 + 8 + 0 + 1 + 3 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×106246268013312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106246268013313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 259762887 + ... + 260171577.

Almost surely, 2^{106246268013312} is an apocalyptic number.

106246268013312 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 106246268013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182611105532800).

106246268013312 is an abundant number, since it is smaller than the sum of its proper divisors (258975943052288).

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

106246268013312 is an frugal number, since it uses more digits than its factorization.

106246268013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408931 (or 408902 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 106246268013312 in words is "one hundred six trillion, two hundred forty-six billion, two hundred sixty-eight million, thirteen thousand, three hundred twelve".