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106498379 = 1383891109
BaseRepresentation
bin1100101100100…
…00100101001011
321102101200022102
412112100211023
5204230422004
614322344015
72432135621
oct626204513
9242350272
10106498379
115512a899
122b7bb00b
13190aa5c0
1410203511
15953a11e
hex659094b

106498379 has 16 divisors (see below), whose sum is σ = 117482400. Its totient is φ = 95943936.

The previous prime is 106498373. The next prime is 106498429. The reversal of 106498379 is 973894601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106498379 is a prime.

It is a super-3 number, since 3×1064983793 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106498373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95477 + ... + 96585.

It is an arithmetic number, because the mean of its divisors is an integer number (7342650).

Almost surely, 2106498379 is an apocalyptic number.

106498379 is a deficient number, since it is larger than the sum of its proper divisors (10984021).

106498379 is a wasteful number, since it uses less digits than its factorization.

106498379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 106498379 is about 10319.8051822697. The cubic root of 106498379 is about 474.0029004552.

The spelling of 106498379 in words is "one hundred six million, four hundred ninety-eight thousand, three hundred seventy-nine".

Divisors: 1 13 83 89 1079 1109 1157 7387 14417 92047 96031 98701 1196611 1283113 8192183 106498379