106005011641 has 8 divisors (see below), whose sum is σ = 115431955200. Its totient is φ = 96962841360.

The previous prime is 106005011621. The next prime is 106005011653. The reversal of 106005011641 is 146110500601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106005011641 - 2⁷ = 106005011513 is a prime.

It is a super-2 number, since 2×106005011641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106005011621) 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, 96192745 + ... + 96193846.

It is an arithmetic number, because the mean of its divisors is an integer number (14428994400).

Almost surely, 2^106005011641 is an apocalyptic number.

It is an amenable number.

106005011641 is a deficient number, since it is larger than the sum of its proper divisors (9426943559).

106005011641 is a wasteful number, since it uses less digits than its factorization.

106005011641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192386639.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 106005011641 in words is "one hundred six billion, five million, eleven thousand, six hundred forty-one".