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105157638407 is a prime number
BaseRepresentation
bin110000111101111100…
…0100011100100000111
3101001102121122112001102
41201323320203210013
53210330323412112
6120150405050315
710411622115113
oct1417370434407
9331377575042
10105157638407
1140662822188
12184690b699b
139bbb212ba3
145138038743
152b06e2dbc2
hex187be23907

105157638407 has 2 divisors, whose sum is σ = 105157638408. Its totient is φ = 105157638406.

The previous prime is 105157638403. The next prime is 105157638479. The reversal of 105157638407 is 704836751501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105157638407 - 22 = 105157638403 is a prime.

It is a super-2 number, since 2×1051576384072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105157638401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578819203 + 52578819204.

It is an arithmetic number, because the mean of its divisors is an integer number (52578819204).

Almost surely, 2105157638407 is an apocalyptic number.

105157638407 is a deficient number, since it is larger than the sum of its proper divisors (1).

105157638407 is an equidigital number, since it uses as much as digits as its factorization.

105157638407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 105157638407 in words is "one hundred five billion, one hundred fifty-seven million, six hundred thirty-eight thousand, four hundred seven".