106771337121148 has 48 divisors (see below), whose sum is σ = 214333042875840. Its totient is φ = 45590091411456.

The previous prime is 106771337121107. The next prime is 106771337121223. The reversal of 106771337121148 is 841121733177601.

It is a super-2 number, since 2×106771337121148² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106771337121095 and 106771337121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731486 + ... + 14715322.

It is an arithmetic number, because the mean of its divisors is an integer number (4465271726580).

Almost surely, 2^{106771337121148} is an apocalyptic number.

It is an amenable number.

106771337121148 is an abundant number, since it is smaller than the sum of its proper divisors (107561705754692).

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

106771337121148 is a wasteful number, since it uses less digits than its factorization.

106771337121148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984934 (or 12984932 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 106771337121148 in words is "one hundred six trillion, seven hundred seventy-one billion, three hundred thirty-seven million, one hundred twenty-one thousand, one hundred forty-eight".