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103105412004 = 22375920804159
BaseRepresentation
bin110000000000110001…
…1111011101110100100
3100212010121000121200010
41200001203323232210
53142124441141004
6115211014450220
710310022353550
oct1400143735644
9325117017603
10103105412004
113a7aa354101
1217b95963970
139951cb0c3a
144dc1666860
152a36ba1a89
hex18018fbba4

103105412004 has 48 divisors (see below), whose sum is σ = 279607910400. Its totient is φ = 28959387936.

The previous prime is 103105411991. The next prime is 103105412017. The reversal of 103105412004 is 400214501301.

It is an interprime number because it is at equal distance from previous prime (103105411991) and next prime (103105412017).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10397124 + ... + 10407035.

It is an arithmetic number, because the mean of its divisors is an integer number (5825164800).

Almost surely, 2103105412004 is an apocalyptic number.

103105412004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103105412004 is an abundant number, since it is smaller than the sum of its proper divisors (176502498396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103105412004 is a wasteful number, since it uses less digits than its factorization.

103105412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20804232 (or 20804230 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 103105412004 its reverse (400214501301), we get a palindrome (503319913305).

The spelling of 103105412004 in words is "one hundred three billion, one hundred five million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 20804159 41608318 62412477 83216636 124824954 145629113 249649908 291258226 436887339 582516452 873774678 1227445381 1747549356 2454890762 3682336143 4909781524 7364672286 8592117667 14729344572 17184235334 25776353001 34368470668 51552706002 103105412004