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106601901 = 37231149157
BaseRepresentation
bin1100101101010…
…01110110101101
321102120221022120
412112221312231
5204242230101
614324503153
72433046500
oct626516655
9242527276
10106601901
11551a064a
122b84aab9
1319115763
141022d137
15955ab36
hex65a9dad

106601901 has 48 divisors (see below), whose sum is σ = 172915200. Its totient is φ = 58181760.

The previous prime is 106601867. The next prime is 106601903. The reversal of 106601901 is 109106601.

106601901 is a nontrivial binomial coefficient, being equal to C(14602, 2).

It is not a de Polignac number, because 106601901 - 214 = 106585517 is a prime.

It is a super-2 number, since 2×1066019012 = 22727930593627602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678915 + ... + 679071.

It is an arithmetic number, because the mean of its divisors is an integer number (3602400).

Almost surely, 2106601901 is an apocalyptic number.

106601901 is the 14601-st triangular number and also the 7301-st hexagonal number.

It is an amenable number.

106601901 is a deficient number, since it is larger than the sum of its proper divisors (66313299).

106601901 is a wasteful number, since it uses less digits than its factorization.

106601901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 106601901 is about 10324.8196594420. The cubic root of 106601901 is about 474.1564359295.

It can be divided in two parts, 10660 and 1901, that added together give a triangular number (12561 = T158).

The spelling of 106601901 in words is "one hundred six million, six hundred one thousand, nine hundred one".

Divisors: 1 3 7 21 31 49 93 147 149 157 217 447 471 651 1043 1099 1519 3129 3297 4557 4619 4867 7301 7693 13857 14601 21903 23079 23393 32333 34069 70179 96999 102207 163751 226331 238483 491253 678993 715449 725183 1146257 2175549 3438771 5076281 15228843 35533967 106601901