105157193 has 2 divisors, whose sum is σ = 105157194. Its totient is φ = 105157192.

The previous prime is 105157183. The next prime is 105157243. The reversal of 105157193 is 391751501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104919049 + 238144 = 10243^2 + 488^2 .

It is a cyclic number.

It is not a de Polignac number, because 105157193 - 2²² = 100962889 is a prime.

It is a super-4 number, since 4×105157193⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (105157123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578596 + 52578597.

It is an arithmetic number, because the mean of its divisors is an integer number (52578597).

Almost surely, 2^105157193 is an apocalyptic number.

It is an amenable number.

105157193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105157193 is an equidigital number, since it uses as much as digits as its factorization.

105157193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 32.

The square root of 105157193 is about 10254.6181303840. The cubic root of 105157193 is about 472.0047055573.

The spelling of 105157193 in words is "one hundred five million, one hundred fifty-seven thousand, one hundred ninety-three".