106005601021 has 8 divisors (see below), whose sum is σ = 111638505600. Its totient is φ = 100378062720.

The previous prime is 106005600977. The next prime is 106005601049. The reversal of 106005601021 is 120106500601.

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

It is a cyclic number.

It is not a de Polignac number, because 106005601021 - 2¹³ = 106005592829 is a prime.

It is a super-2 number, since 2×106005601021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106005600983 and 106005601001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005601061) 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, 1300981 + ... + 1380058.

It is an arithmetic number, because the mean of its divisors is an integer number (13954813200).

Almost surely, 2^106005601021 is an apocalyptic number.

It is an amenable number.

106005601021 is a deficient number, since it is larger than the sum of its proper divisors (5632904579).

106005601021 is a wasteful number, since it uses less digits than its factorization.

106005601021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683139.

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 106005601021 in words is "one hundred six billion, five million, six hundred one thousand, twenty-one".