106000061006004 has 96 divisors (see below), whose sum is σ = 270290288378880. Its totient is φ = 32065068537600.

The previous prime is 106000061005967. The next prime is 106000061006009. The reversal of 106000061006004 is 400600160000601.

It is a super-2 number, since 2×106000061006004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000061006009) 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, 381825552 + ... + 382103064.

It is an arithmetic number, because the mean of its divisors is an integer number (2815523837280).

Almost surely, 2^{106000061006004} is an apocalyptic number.

It is an amenable number.

106000061006004 is an abundant number, since it is smaller than the sum of its proper divisors (164290227372876).

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

106000061006004 is a wasteful number, since it uses less digits than its factorization.

106000061006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282581 (or 282579 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 106000061006004 in words is "one hundred six trillion, sixty-one million, six thousand, four".