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103680401 = 1137269947
BaseRepresentation
bin1100010111000…
…00100110010001
321020002111202212
412023200212101
5203020233101
614142121505
72366161136
oct613404621
9236074685
10103680401
1153585690
122a880295
1318631a66
14daac58d
1591801bb
hex62e0991

103680401 has 16 divisors (see below), whose sum is σ = 116717760. Its totient is φ = 91270080.

The previous prime is 103680383. The next prime is 103680403. The reversal of 103680401 is 104086301.

It is a de Polignac number, because none of the positive numbers 2k-103680401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103680403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109010 + ... + 109956.

It is an arithmetic number, because the mean of its divisors is an integer number (7294860).

Almost surely, 2103680401 is an apocalyptic number.

103680401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103680401 is a deficient number, since it is larger than the sum of its proper divisors (13037359).

103680401 is a wasteful number, since it uses less digits than its factorization.

103680401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 103680401 is about 10182.3573400269. The cubic root of 103680401 is about 469.7847225961.

The spelling of 103680401 in words is "one hundred three million, six hundred eighty thousand, four hundred one".

Divisors: 1 11 37 269 407 947 2959 9953 10417 35039 109483 254743 385429 2802173 9425491 103680401