106048642020912 has 160 divisors (see below), whose sum is σ = 304909056000000. Its totient is φ = 35290350950400.

The previous prime is 106048642020907. The next prime is 106048642020931. The reversal of 106048642020912 is 219020246840601.

It is a happy number.

106048642020912 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 8 + 6 + 420 + 209 + 12 = 666.

It is a super-2 number, since 2×106048642020912² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620957389 + ... + 621128147.

It is an arithmetic number, because the mean of its divisors is an integer number (1905681600000).

Almost surely, 2^{106048642020912} is an apocalyptic number.

106048642020912 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 106048642020912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152454528000000).

106048642020912 is an abundant number, since it is smaller than the sum of its proper divisors (198860413979088).

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

106048642020912 is a wasteful number, since it uses less digits than its factorization.

106048642020912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173176 (or 173164 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 106048642020912 in words is "one hundred six trillion, forty-eight billion, six hundred forty-two million, twenty thousand, nine hundred twelve".