106076589823801 has 9 divisors (see below), whose sum is σ = 111953615734053. Its totient is φ = 100493426023740.

The previous prime is 106076589823759. The next prime is 106076589823843. The reversal of 106076589823801 is 108328985670601.

The square root of 106076589823801 is 10299349.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (106076589823759) and next prime (106076589823843).

It is not a de Polignac number, because 106076589823801 - 2²¹ = 106076587726649 is a prime.

It is a super-2 number, since 2×106076589823801² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106076589824801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195416596 + ... + 195958666.

It is an arithmetic number, because the mean of its divisors is an integer number (12439290637117).

Almost surely, 2^{106076589823801} is an apocalyptic number.

106076589823801 is the 10299349-th square number.

106076589823801 is the 5149675-th centered octagonal number.

It is an amenable number.

106076589823801 is a deficient number, since it is larger than the sum of its proper divisors (5877025910252).

106076589823801 is an frugal number, since it uses more digits than its factorization.

106076589823801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084180 (or 542090 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 106076589823801 in words is "one hundred six trillion, seventy-six billion, five hundred eighty-nine million, eight hundred twenty-three thousand, eight hundred one".