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105113724731 is a prime number
BaseRepresentation
bin110000111100101000…
…1000010011100111011
3101001022120000110210222
41201321101002130323
53210233103142411
6120142155530255
710410546626651
oct1417121023473
9331276013728
10105113724731
114063aa59194
121845645998b
139bb20a8b72
145132286dd1
152b031574db
hex187944273b

105113724731 has 2 divisors, whose sum is σ = 105113724732. Its totient is φ = 105113724730.

The previous prime is 105113724601. The next prime is 105113724739. The reversal of 105113724731 is 137427311501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105113724731 - 226 = 105046615867 is a prime.

It is a super-2 number, since 2×1051137247312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105113724691 and 105113724700.

It is not a weakly prime, because it can be changed into another prime (105113724739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556862365 + 52556862366.

It is an arithmetic number, because the mean of its divisors is an integer number (52556862366).

Almost surely, 2105113724731 is an apocalyptic number.

105113724731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113724731 is an equidigital number, since it uses as much as digits as its factorization.

105113724731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 105113724731 in words is "one hundred five billion, one hundred thirteen million, seven hundred twenty-four thousand, seven hundred thirty-one".