35105004046101 has 48 divisors (see below), whose sum is σ = 52051133615040. Its totient is φ = 21026839468800.

The previous prime is 35105004046097. The next prime is 35105004046109. The reversal of 35105004046101 is 10164040050153.

It is a happy number.

It is not a de Polignac number, because 35105004046101 - 2² = 35105004046097 is a prime.

It is a super-2 number, since 2×35105004046101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35105004046109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68915526 + ... + 69423048.

It is an arithmetic number, because the mean of its divisors is an integer number (1084398616980).

Almost surely, 2^{35105004046101} is an apocalyptic number.

It is an amenable number.

35105004046101 is a deficient number, since it is larger than the sum of its proper divisors (16946129568939).

35105004046101 is a wasteful number, since it uses less digits than its factorization.

35105004046101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509778 (or 509767 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 35105004046101 its reverse (10164040050153), we get a palindrome (45269044096254).

The spelling of 35105004046101 in words is "thirty-five trillion, one hundred five billion, four million, forty-six thousand, one hundred one".