106057825077 has 8 divisors (see below), whose sum is σ = 141668955616. Its totient is φ = 70575955632.

The previous prime is 106057825063. The next prime is 106057825091. The reversal of 106057825077 is 770528750601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106057825063) and next prime (106057825091).

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

It is not a de Polignac number, because 106057825077 - 2¹⁰ = 106057824053 is a prime.

It is a super-2 number, since 2×106057825077² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057825057) 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, 32313358 + ... + 32316639.

It is an arithmetic number, because the mean of its divisors is an integer number (17708619452).

Almost surely, 2^106057825077 is an apocalyptic number.

It is an amenable number.

106057825077 is a deficient number, since it is larger than the sum of its proper divisors (35611130539).

106057825077 is an equidigital number, since it uses as much as digits as its factorization.

106057825077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64630547.

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 106057825077 in words is "one hundred six billion, fifty-seven million, eight hundred twenty-five thousand, seventy-seven".