106993755801 has 27 divisors (see below), whose sum is σ = 156157640821. Its totient is φ = 70593197784.

The previous prime is 106993755793. The next prime is 106993755809. The reversal of 106993755801 is 108557399601.

The square root of 106993755801 is 327099.

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

106993755801 is a `hidden beast` number, since 106 + 99 + 375 + 5 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106993755793) and next prime (106993755809).

It is not a de Polignac number, because 106993755801 - 2³ = 106993755793 is a prime.

It is a super-2 number, since 2×106993755801² (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 (106993755809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104998270 + ... + 104999288.

Almost surely, 2^106993755801 is an apocalyptic number.

106993755801 is the 327099-th square number.

106993755801 is the 163550-th centered octagonal number.

It is an amenable number.

106993755801 is a deficient number, since it is larger than the sum of its proper divisors (49163885020).

106993755801 is an frugal number, since it uses more digits than its factorization.

106993755801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 106993755801 in words is "one hundred six billion, nine hundred ninety-three million, seven hundred fifty-five thousand, eight hundred one".