106410564401 has 8 divisors (see below), whose sum is σ = 106497837480. Its totient is φ = 106323331968.

The previous prime is 106410564397. The next prime is 106410564409. The reversal of 106410564401 is 104465014601.

It can be written as a sum of positive squares in 4 ways, for example, as 40246378225 + 66164186176 = 200615^2 + 257224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106410564401 - 2² = 106410564397 is a prime.

It is a super-2 number, since 2×106410564401² (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 (106410564409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7101245 + ... + 7116213.

It is an arithmetic number, because the mean of its divisors is an integer number (13312229685).

Almost surely, 2^106410564401 is an apocalyptic number.

It is an amenable number.

106410564401 is a deficient number, since it is larger than the sum of its proper divisors (87273079).

106410564401 is a wasteful number, since it uses less digits than its factorization.

106410564401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20323.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 106410564401 in words is "one hundred six billion, four hundred ten million, five hundred sixty-four thousand, four hundred one".