106072084801 has 8 divisors (see below), whose sum is σ = 106906555008. Its totient is φ = 105237990000.

The previous prime is 106072084799. The next prime is 106072084819. The reversal of 106072084801 is 108480270601.

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 106072084801 - 2¹ = 106072084799 is a prime.

It is a super-2 number, since 2×106072084801² (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 (106072084831) 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, 487576 + ... + 670726.

It is an arithmetic number, because the mean of its divisors is an integer number (13363319376).

Almost surely, 2^106072084801 is an apocalyptic number.

It is an amenable number.

106072084801 is a deficient number, since it is larger than the sum of its proper divisors (834470207).

106072084801 is a wasteful number, since it uses less digits than its factorization.

106072084801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187703.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 106072084801 in words is "one hundred six billion, seventy-two million, eighty-four thousand, eight hundred one".