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106418793 = 31321712347
BaseRepresentation
bin1100101011111…
…01001001101001
321102020122010210
412111331021221
5204220400133
614320531333
72431354605
oct625751151
9242218123
10106418793
1155086018
122b780b49
1319080300
14101c2505
159521763
hex657d269

106418793 has 24 divisors (see below), whose sum is σ = 162697248. Its totient is φ = 61631232.

The previous prime is 106418779. The next prime is 106418801. The reversal of 106418793 is 397814601.

It is not a de Polignac number, because 106418793 - 28 = 106418537 is a prime.

It is a super-2 number, since 2×1064187932 = 22649919007153698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106418693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446 + ... + 14792.

It is an arithmetic number, because the mean of its divisors is an integer number (6779052).

Almost surely, 2106418793 is an apocalyptic number.

106418793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106418793 is a deficient number, since it is larger than the sum of its proper divisors (56278455).

106418793 is a wasteful number, since it uses less digits than its factorization.

106418793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12393 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 106418793 is about 10315.9484779636. The cubic root of 106418793 is about 473.8847972624.

The spelling of 106418793 in words is "one hundred six million, four hundred eighteen thousand, seven hundred ninety-three".

Divisors: 1 3 13 17 39 51 169 221 507 663 2873 8619 12347 37041 160511 209899 481533 629697 2086643 2728687 6259929 8186061 35472931 106418793