106814781001 has 16 divisors (see below), whose sum is σ = 118291944960. Its totient is φ = 96056565120.

The previous prime is 106814780951. The next prime is 106814781011. The reversal of 106814781001 is 100187418601.

It is a cyclic number.

It is not a de Polignac number, because 106814781001 - 2⁷ = 106814780873 is a prime.

It is a super-2 number, since 2×106814781001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (106814781011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824121 + ... + 1881766.

It is an arithmetic number, because the mean of its divisors is an integer number (7393246560).

Almost surely, 2^106814781001 is an apocalyptic number.

It is an amenable number.

106814781001 is a deficient number, since it is larger than the sum of its proper divisors (11477163959).

106814781001 is a wasteful number, since it uses less digits than its factorization.

106814781001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705984.

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 106814781001 in words is "one hundred six billion, eight hundred fourteen million, seven hundred eighty-one thousand, one".