106011010657 has 16 divisors (see below), whose sum is σ = 107965872000. Its totient is φ = 104079875200.

The previous prime is 106011010607. The next prime is 106011010673. The reversal of 106011010657 is 756010110601.

It is a cyclic number.

It is not a de Polignac number, because 106011010657 - 2¹⁵ = 106010977889 is a prime.

It is a super-2 number, since 2×106011010657² (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 (106011010607) 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, 4442157 + ... + 4465957.

It is an arithmetic number, because the mean of its divisors is an integer number (6747867000).

Almost surely, 2^106011010657 is an apocalyptic number.

It is an amenable number.

106011010657 is a deficient number, since it is larger than the sum of its proper divisors (1954861343).

106011010657 is a wasteful number, since it uses less digits than its factorization.

106011010657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 106011010657 in words is "one hundred six billion, eleven million, ten thousand, six hundred fifty-seven".