106242892793672 has 128 divisors (see below), whose sum is σ = 212316031440000. Its totient is φ = 49761381390336.

The previous prime is 106242892793633. The next prime is 106242892793747. The reversal of 106242892793672 is 276397298242601.

It is a super-2 number, since 2×106242892793672² (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, 804444779 + ... + 804576837.

It is an arithmetic number, because the mean of its divisors is an integer number (1658718995625).

Almost surely, 2^{106242892793672} is an apocalyptic number.

It is an amenable number.

106242892793672 is a deficient number, since it is larger than the sum of its proper divisors (106073138646328).

106242892793672 is a wasteful number, since it uses less digits than its factorization.

106242892793672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132943 (or 132939 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 68.

The spelling of 106242892793672 in words is "one hundred six trillion, two hundred forty-two billion, eight hundred ninety-two million, seven hundred ninety-three thousand, six hundred seventy-two".