105157638433 has 8 divisors (see below), whose sum is σ = 105776108928. Its totient is φ = 104539290384.

The previous prime is 105157638407. The next prime is 105157638479. The reversal of 105157638433 is 334836751501.

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 105157638433 - 2⁵ = 105157638401 is a prime.

It is a super-2 number, since 2×105157638433² (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 (105157638403) 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, 2142910 + ... + 2191432.

It is an arithmetic number, because the mean of its divisors is an integer number (13222013616).

Almost surely, 2^105157638433 is an apocalyptic number.

It is an amenable number.

105157638433 is a deficient number, since it is larger than the sum of its proper divisors (618470495).

105157638433 is a wasteful number, since it uses less digits than its factorization.

105157638433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61223.

The product of its (nonzero) digits is 907200, while the sum is 46.

It can be divided in two parts, 105157 and 638433, that added together give a triangular number (743590 = T₁₂₁₉).

The spelling of 105157638433 in words is "one hundred five billion, one hundred fifty-seven million, six hundred thirty-eight thousand, four hundred thirty-three".