106035746409 has 40 divisors (see below), whose sum is σ = 160790762880. Its totient is φ = 69629212224.

The previous prime is 106035746359. The next prime is 106035746437. The reversal of 106035746409 is 904647530601.

106035746409 is a `hidden beast` number, since 10 + 6 + 0 + 3 + 574 + 64 + 0 + 9 = 666.

It is not a de Polignac number, because 106035746409 - 2²⁰ = 106034697833 is a prime.

It is a super-2 number, since 2×106035746409² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106035746209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1868004 + ... + 1923930.

It is an arithmetic number, because the mean of its divisors is an integer number (4019769072).

Almost surely, 2^106035746409 is an apocalyptic number.

It is an amenable number.

106035746409 is a deficient number, since it is larger than the sum of its proper divisors (54755016471).

106035746409 is an equidigital number, since it uses as much as digits as its factorization.

106035746409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56291 (or 56282 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 106035746409 in words is "one hundred six billion, thirty-five million, seven hundred forty-six thousand, four hundred nine".