106070915082496 has 1944 divisors, whose sum is σ = 308814889388544. Its totient is φ = 36070527467520.

The previous prime is 106070915082469. The next prime is 106070915082523. The reversal of 106070915082496 is 694280519070601.

It is an interprime number because it is at equal distance from previous prime (106070915082469) and next prime (106070915082523).

It is a super-3 number, since 3×106070915082496³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106070915082496.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 403311464061 + ... + 403311464323.

It is an arithmetic number, because the mean of its divisors is an integer number (158855395776).

Almost surely, 2^{106070915082496} is an apocalyptic number.

106070915082496 is a gapful number since it is divisible by the number (16) 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 106070915082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154407444694272).

106070915082496 is an abundant number, since it is smaller than the sum of its proper divisors (202743974306048).

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

106070915082496 is a wasteful number, since it uses less digits than its factorization.

106070915082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 106070915082496 in words is "one hundred six trillion, seventy billion, nine hundred fifteen million, eighty-two thousand, four hundred ninety-six".