105157763199 has 24 divisors (see below), whose sum is σ = 155775559680. Its totient is φ = 68326424208.

The previous prime is 105157763093. The next prime is 105157763201. The reversal of 105157763199 is 991367751501.

105157763199 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 577 + 63 + 1 + 9 + 9 = 666.

It is not a de Polignac number, because 105157763199 - 2⁹ = 105157762687 is a prime.

It is a super-2 number, since 2×105157763199² (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 (105157763999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418987 + ... + 621180.

It is an arithmetic number, because the mean of its divisors is an integer number (6490648320).

Almost surely, 2^105157763199 is an apocalyptic number.

105157763199 is a deficient number, since it is larger than the sum of its proper divisors (50617796481).

105157763199 is a wasteful number, since it uses less digits than its factorization.

105157763199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040459 (or 1040456 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 54.

The spelling of 105157763199 in words is "one hundred five billion, one hundred fifty-seven million, seven hundred sixty-three thousand, one hundred ninety-nine".