105406081557 has 32 divisors (see below), whose sum is σ = 169223685120. Its totient is φ = 57010884480.

The previous prime is 105406081537. The next prime is 105406081559. The reversal of 105406081557 is 755180604501.

It is not a de Polignac number, because 105406081557 - 2¹⁵ = 105406048789 is a prime.

It is a super-2 number, since 2×105406081557² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406081559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330457 + ... + 565697.

It is an arithmetic number, because the mean of its divisors is an integer number (5288240160).

Almost surely, 2^105406081557 is an apocalyptic number.

It is an amenable number.

105406081557 is a deficient number, since it is larger than the sum of its proper divisors (63817603563).

105406081557 is a wasteful number, since it uses less digits than its factorization.

105406081557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236393.

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 105406081557 in words is "one hundred five billion, four hundred six million, eighty-one thousand, five hundred fifty-seven".