106148073856 has 64 divisors (see below), whose sum is σ = 231419831760. Its totient is φ = 48096716800.

The previous prime is 106148073853. The next prime is 106148073869. The reversal of 106148073856 is 658370841601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106148073856² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106148073853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327426 + ... + 565246.

Almost surely, 2^106148073856 is an apocalyptic number.

106148073856 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 106148073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115709915880).

106148073856 is an abundant number, since it is smaller than the sum of its proper divisors (125271757904).

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

106148073856 is a wasteful number, since it uses less digits than its factorization.

106148073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238163 (or 238151 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 106148073856 in words is "one hundred six billion, one hundred forty-eight million, seventy-three thousand, eight hundred fifty-six".