10105106057 has 8 divisors (see below), whose sum is σ = 10456871040. Its totient is φ = 9753562000.

The previous prime is 10105106003. The next prime is 10105106059. The reversal of 10105106057 is 75060150101.

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 10105106057 - 2²⁸ = 9836670601 is a prime.

It is a super-2 number, since 2×10105106057² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105106059) 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, 40688 + ... + 147870.

It is an arithmetic number, because the mean of its divisors is an integer number (1307108880).

Almost surely, 2^10105106057 is an apocalyptic number.

It is an amenable number.

10105106057 is a deficient number, since it is larger than the sum of its proper divisors (351764983).

10105106057 is a wasteful number, since it uses less digits than its factorization.

10105106057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110463.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 10105106057 its reverse (75060150101), we get a palindrome (85165256158).

The spelling of 10105106057 in words is "ten billion, one hundred five million, one hundred six thousand, fifty-seven".