106105919156848 has 160 divisors (see below), whose sum is σ = 234674964216000. Its totient is φ = 46118119219200.

The previous prime is 106105919156843. The next prime is 106105919156873. The reversal of 106105919156848 is 848651919501601.

It is a super-2 number, since 2×106105919156848² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106105919156848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105919156843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994388203 + ... + 994494901.

It is an arithmetic number, because the mean of its divisors is an integer number (1466718526350).

Almost surely, 2^{106105919156848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105919156848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117337482108000).

106105919156848 is an abundant number, since it is smaller than the sum of its proper divisors (128569045059152).

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

106105919156848 is a wasteful number, since it uses less digits than its factorization.

106105919156848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110811 (or 110805 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 64.

The spelling of 106105919156848 in words is "one hundred six trillion, one hundred five billion, nine hundred nineteen million, one hundred fifty-six thousand, eight hundred forty-eight".