| Base | Representation |
|---|---|
| bin | 1100101111100… |
| … | …01000110000000 |
| 3 | 21110010202120210 |
| 4 | 12113301012000 |
| 5 | 204331044241 |
| 6 | 14335034120 |
| 7 | 2435403300 |
| oct | 627610600 |
| 9 | 243122523 |
| 10 | 106893696 |
| 11 | 5537a8a8 |
| 12 | 2b96b940 |
| 13 | 191b8510 |
| 14 | 102a7600 |
| 15 | 95b7316 |
| hex | 65f1180 |
106893696 has 384 divisors, whose sum is σ = 390700800. Its totient is φ = 25546752.
The previous prime is 106893691. The next prime is 106893701. The reversal of 106893696 is 696398601.
It is an interprime number because it is at equal distance from previous prime (106893691) and next prime (106893701).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1068936962 = 22852524489080832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106893691) 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 47 ways as a sum of consecutive naturals, for example, 4647541 + ... + 4647563.
It is an arithmetic number, because the mean of its divisors is an integer number (1017450).
Almost surely, 2106893696 is an apocalyptic number.
106893696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).
106893696 is an abundant number, since it is smaller than the sum of its proper divisors (283807104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106893696 is a wasteful number, since it uses less digits than its factorization.
106893696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 419904, while the sum is 48.
The square root of 106893696 is about 10338.9407581241. The cubic root of 106893696 is about 474.5886684671.
The spelling of 106893696 in words is "one hundred six million, eight hundred ninety-three thousand, six hundred ninety-six".
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